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Finding the Third Proportional to 25,874 and 39,957

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Solution

The third proportional to 25,874 and 39,957 is: 61,705.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,874 : 39,957 = 39,957 : x
  2. Step 2: Convert to fraction form
    25,874/39,957 = 39,957/x
  3. Step 3: Cross multiply
    25,874x = 39,957 × 39,957
  4. Step 4: Simplify right side
    25,874x = 1,596,561,849
  5. Step 5: Solve for x
    x = 1,596,561,849/25,874
  6. Step 6: Final answer
    x = 61,705.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.