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Finding the Third Proportional to 13,429.13 and 29,067.19

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Solution

The third proportional to 13,429.13 and 29,067.19 is: 62,915.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429.13 : 29,067.19 = 29,067.19 : x
  2. Step 2: Convert to fraction form
    13,429.13/29,067.19 = 29,067.19/x
  3. Step 3: Cross multiply
    13,429.13x = 29,067.19 × 29,067.19
  4. Step 4: Simplify right side
    13,429.13x = 844,901,389.16
  5. Step 5: Solve for x
    x = 844,901,389.16/13,429.13
  6. Step 6: Final answer
    x = 62,915.59

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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.