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Finding the Third Proportional to 27,426 and 59,551

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Solution

The third proportional to 27,426 and 59,551 is: 129,305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,426 : 59,551 = 59,551 : x
  2. Step 2: Convert to fraction form
    27,426/59,551 = 59,551/x
  3. Step 3: Cross multiply
    27,426x = 59,551 × 59,551
  4. Step 4: Simplify right side
    27,426x = 3,546,321,601
  5. Step 5: Solve for x
    x = 3,546,321,601/27,426
  6. Step 6: Final answer
    x = 129,305.10

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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.