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Finding the Third Proportional to 13,702.92 and 15,343.17

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Solution

The third proportional to 13,702.92 and 15,343.17 is: 17,179.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.92 : 15,343.17 = 15,343.17 : x
  2. Step 2: Convert to fraction form
    13,702.92/15,343.17 = 15,343.17/x
  3. Step 3: Cross multiply
    13,702.92x = 15,343.17 × 15,343.17
  4. Step 4: Simplify right side
    13,702.92x = 235,412,923.19
  5. Step 5: Solve for x
    x = 235,412,923.19/13,702.92
  6. Step 6: Final answer
    x = 17,179.76

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.