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Finding the Third Proportional to 13,861.13 and 29,451.09

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Solution

The third proportional to 13,861.13 and 29,451.09 is: 62,575.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,861.13 : 29,451.09 = 29,451.09 : x
  2. Step 2: Convert to fraction form
    13,861.13/29,451.09 = 29,451.09/x
  3. Step 3: Cross multiply
    13,861.13x = 29,451.09 × 29,451.09
  4. Step 4: Simplify right side
    13,861.13x = 867,366,923.07
  5. Step 5: Solve for x
    x = 867,366,923.07/13,861.13
  6. Step 6: Final answer
    x = 62,575.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.