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Finding the Third Proportional to 25,457 and 54,561

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Solution

The third proportional to 25,457 and 54,561 is: 116,938.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,457 : 54,561 = 54,561 : x
  2. Step 2: Convert to fraction form
    25,457/54,561 = 54,561/x
  3. Step 3: Cross multiply
    25,457x = 54,561 × 54,561
  4. Step 4: Simplify right side
    25,457x = 2,976,902,721
  5. Step 5: Solve for x
    x = 2,976,902,721/25,457
  6. Step 6: Final answer
    x = 116,938.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.