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Finding the Third Proportional to 36,351 and 48,847.50

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Solution

The third proportional to 36,351 and 48,847.50 is: 65,639.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,351 : 48,847.50 = 48,847.50 : x
  2. Step 2: Convert to fraction form
    36,351/48,847.50 = 48,847.50/x
  3. Step 3: Cross multiply
    36,351x = 48,847.50 × 48,847.50
  4. Step 4: Simplify right side
    36,351x = 2,386,078,256.25
  5. Step 5: Solve for x
    x = 2,386,078,256.25/36,351
  6. Step 6: Final answer
    x = 65,639.96

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.