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Finding the Third Proportional to 25,080 and 54,849

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Solution

The third proportional to 25,080 and 54,849 is: 119,952.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,080 : 54,849 = 54,849 : x
  2. Step 2: Convert to fraction form
    25,080/54,849 = 54,849/x
  3. Step 3: Cross multiply
    25,080x = 54,849 × 54,849
  4. Step 4: Simplify right side
    25,080x = 3,008,412,801
  5. Step 5: Solve for x
    x = 3,008,412,801/25,080
  6. Step 6: Final answer
    x = 119,952.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.