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Finding the Third Proportional to 13,514 and 29,044

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Solution

The third proportional to 13,514 and 29,044 is: 62,420.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,514 : 29,044 = 29,044 : x
  2. Step 2: Convert to fraction form
    13,514/29,044 = 29,044/x
  3. Step 3: Cross multiply
    13,514x = 29,044 × 29,044
  4. Step 4: Simplify right side
    13,514x = 843,553,936
  5. Step 5: Solve for x
    x = 843,553,936/13,514
  6. Step 6: Final answer
    x = 62,420.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.