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Finding the Third Proportional to 15,795.56 and 23,757.47

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Solution

The third proportional to 15,795.56 and 23,757.47 is: 35,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,795.56 : 23,757.47 = 23,757.47 : x
  2. Step 2: Convert to fraction form
    15,795.56/23,757.47 = 23,757.47/x
  3. Step 3: Cross multiply
    15,795.56x = 23,757.47 × 23,757.47
  4. Step 4: Simplify right side
    15,795.56x = 564,417,321.41
  5. Step 5: Solve for x
    x = 564,417,321.41/15,795.56
  6. Step 6: Final answer
    x = 35,732.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.