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Finding the Third Proportional to 25,924 and 38,339

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Solution

The third proportional to 25,924 and 38,339 is: 56,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,924 : 38,339 = 38,339 : x
  2. Step 2: Convert to fraction form
    25,924/38,339 = 38,339/x
  3. Step 3: Cross multiply
    25,924x = 38,339 × 38,339
  4. Step 4: Simplify right side
    25,924x = 1,469,878,921
  5. Step 5: Solve for x
    x = 1,469,878,921/25,924
  6. Step 6: Final answer
    x = 56,699.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.