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Finding the Third Proportional to 26,005 and 61,327

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Solution

The third proportional to 26,005 and 61,327 is: 144,626.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,005 : 61,327 = 61,327 : x
  2. Step 2: Convert to fraction form
    26,005/61,327 = 61,327/x
  3. Step 3: Cross multiply
    26,005x = 61,327 × 61,327
  4. Step 4: Simplify right side
    26,005x = 3,761,000,929
  5. Step 5: Solve for x
    x = 3,761,000,929/26,005
  6. Step 6: Final answer
    x = 144,626.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.