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Finding the Third Proportional to 25,857 and 39,538

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Solution

The third proportional to 25,857 and 39,538 is: 60,457.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,857 : 39,538 = 39,538 : x
  2. Step 2: Convert to fraction form
    25,857/39,538 = 39,538/x
  3. Step 3: Cross multiply
    25,857x = 39,538 × 39,538
  4. Step 4: Simplify right side
    25,857x = 1,563,253,444
  5. Step 5: Solve for x
    x = 1,563,253,444/25,857
  6. Step 6: Final answer
    x = 60,457.65

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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.