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Finding the Third Proportional to 13,710.52 and 29,932.66

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Solution

The third proportional to 13,710.52 and 29,932.66 is: 65,348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.52 : 29,932.66 = 29,932.66 : x
  2. Step 2: Convert to fraction form
    13,710.52/29,932.66 = 29,932.66/x
  3. Step 3: Cross multiply
    13,710.52x = 29,932.66 × 29,932.66
  4. Step 4: Simplify right side
    13,710.52x = 895,964,377.88
  5. Step 5: Solve for x
    x = 895,964,377.88/13,710.52
  6. Step 6: Final answer
    x = 65,348.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.