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Finding the Third Proportional to 36,800.25 and 79,432.50

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Solution

The third proportional to 36,800.25 and 79,432.50 is: 171,453.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,800.25 : 79,432.50 = 79,432.50 : x
  2. Step 2: Convert to fraction form
    36,800.25/79,432.50 = 79,432.50/x
  3. Step 3: Cross multiply
    36,800.25x = 79,432.50 × 79,432.50
  4. Step 4: Simplify right side
    36,800.25x = 6,309,522,056.25
  5. Step 5: Solve for x
    x = 6,309,522,056.25/36,800.25
  6. Step 6: Final answer
    x = 171,453.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.