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Finding the Third Proportional to 27,549 and 59,676

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Solution

The third proportional to 27,549 and 59,676 is: 129,268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,549 : 59,676 = 59,676 : x
  2. Step 2: Convert to fraction form
    27,549/59,676 = 59,676/x
  3. Step 3: Cross multiply
    27,549x = 59,676 × 59,676
  4. Step 4: Simplify right side
    27,549x = 3,561,224,976
  5. Step 5: Solve for x
    x = 3,561,224,976/27,549
  6. Step 6: Final answer
    x = 129,268.76

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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.