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Finding the Third Proportional to 25,466 and 38,931

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Solution

The third proportional to 25,466 and 38,931 is: 59,515.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,466 : 38,931 = 38,931 : x
  2. Step 2: Convert to fraction form
    25,466/38,931 = 38,931/x
  3. Step 3: Cross multiply
    25,466x = 38,931 × 38,931
  4. Step 4: Simplify right side
    25,466x = 1,515,622,761
  5. Step 5: Solve for x
    x = 1,515,622,761/25,466
  6. Step 6: Final answer
    x = 59,515.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.