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Finding the Third Proportional to 15,000.75 and 32,181.75

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Solution

The third proportional to 15,000.75 and 32,181.75 is: 69,040.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,000.75 : 32,181.75 = 32,181.75 : x
  2. Step 2: Convert to fraction form
    15,000.75/32,181.75 = 32,181.75/x
  3. Step 3: Cross multiply
    15,000.75x = 32,181.75 × 32,181.75
  4. Step 4: Simplify right side
    15,000.75x = 1,035,665,033.06
  5. Step 5: Solve for x
    x = 1,035,665,033.06/15,000.75
  6. Step 6: Final answer
    x = 69,040.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.