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Finding the Third Proportional to 13,416.26 and 29,042.30

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Solution

The third proportional to 13,416.26 and 29,042.30 is: 62,868.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.26 : 29,042.30 = 29,042.30 : x
  2. Step 2: Convert to fraction form
    13,416.26/29,042.30 = 29,042.30/x
  3. Step 3: Cross multiply
    13,416.26x = 29,042.30 × 29,042.30
  4. Step 4: Simplify right side
    13,416.26x = 843,455,007.78
  5. Step 5: Solve for x
    x = 843,455,007.78/13,416.26
  6. Step 6: Final answer
    x = 62,868.13

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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.