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Finding the Third Proportional to 13,371 and 29,051

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Solution

The third proportional to 13,371 and 29,051 is: 63,118.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,371 : 29,051 = 29,051 : x
  2. Step 2: Convert to fraction form
    13,371/29,051 = 29,051/x
  3. Step 3: Cross multiply
    13,371x = 29,051 × 29,051
  4. Step 4: Simplify right side
    13,371x = 843,960,601
  5. Step 5: Solve for x
    x = 843,960,601/13,371
  6. Step 6: Final answer
    x = 63,118.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.