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Finding the Third Proportional to 25,397 and 38,661

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Solution

The third proportional to 25,397 and 38,661 is: 58,852.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,397 : 38,661 = 38,661 : x
  2. Step 2: Convert to fraction form
    25,397/38,661 = 38,661/x
  3. Step 3: Cross multiply
    25,397x = 38,661 × 38,661
  4. Step 4: Simplify right side
    25,397x = 1,494,672,921
  5. Step 5: Solve for x
    x = 1,494,672,921/25,397
  6. Step 6: Final answer
    x = 58,852.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.