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Finding the Third Proportional to 15,343.17 and 31,472.30

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Solution

The third proportional to 15,343.17 and 31,472.30 is: 64,556.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,343.17 : 31,472.30 = 31,472.30 : x
  2. Step 2: Convert to fraction form
    15,343.17/31,472.30 = 31,472.30/x
  3. Step 3: Cross multiply
    15,343.17x = 31,472.30 × 31,472.30
  4. Step 4: Simplify right side
    15,343.17x = 990,505,470.59
  5. Step 5: Solve for x
    x = 990,505,470.59/15,343.17
  6. Step 6: Final answer
    x = 64,556.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.