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Finding the Third Proportional to 13,424 and 29,060.38

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Solution

The third proportional to 13,424 and 29,060.38 is: 62,910.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424 : 29,060.38 = 29,060.38 : x
  2. Step 2: Convert to fraction form
    13,424/29,060.38 = 29,060.38/x
  3. Step 3: Cross multiply
    13,424x = 29,060.38 × 29,060.38
  4. Step 4: Simplify right side
    13,424x = 844,505,395.14
  5. Step 5: Solve for x
    x = 844,505,395.14/13,424
  6. Step 6: Final answer
    x = 62,910.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.