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Finding the Third Proportional to 27,017 and 39,649

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Solution

The third proportional to 27,017 and 39,649 is: 58,187.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,017 : 39,649 = 39,649 : x
  2. Step 2: Convert to fraction form
    27,017/39,649 = 39,649/x
  3. Step 3: Cross multiply
    27,017x = 39,649 × 39,649
  4. Step 4: Simplify right side
    27,017x = 1,572,043,201
  5. Step 5: Solve for x
    x = 1,572,043,201/27,017
  6. Step 6: Final answer
    x = 58,187.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.