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Finding the Third Proportional to 15,754.50 and 36,541.13

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Solution

The third proportional to 15,754.50 and 36,541.13 is: 84,753.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.50 : 36,541.13 = 36,541.13 : x
  2. Step 2: Convert to fraction form
    15,754.50/36,541.13 = 36,541.13/x
  3. Step 3: Cross multiply
    15,754.50x = 36,541.13 × 36,541.13
  4. Step 4: Simplify right side
    15,754.50x = 1,335,253,816.27
  5. Step 5: Solve for x
    x = 1,335,253,816.27/15,754.50
  6. Step 6: Final answer
    x = 84,753.80

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.