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Finding the Third Proportional to 25,632 and 53,675

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Solution

The third proportional to 25,632 and 53,675 is: 112,398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,632 : 53,675 = 53,675 : x
  2. Step 2: Convert to fraction form
    25,632/53,675 = 53,675/x
  3. Step 3: Cross multiply
    25,632x = 53,675 × 53,675
  4. Step 4: Simplify right side
    25,632x = 2,881,005,625
  5. Step 5: Solve for x
    x = 2,881,005,625/25,632
  6. Step 6: Final answer
    x = 112,398.78

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.