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Finding the Third Proportional to 25,577 and 39,257

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Solution

The third proportional to 25,577 and 39,257 is: 60,253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,577 : 39,257 = 39,257 : x
  2. Step 2: Convert to fraction form
    25,577/39,257 = 39,257/x
  3. Step 3: Cross multiply
    25,577x = 39,257 × 39,257
  4. Step 4: Simplify right side
    25,577x = 1,541,112,049
  5. Step 5: Solve for x
    x = 1,541,112,049/25,577
  6. Step 6: Final answer
    x = 60,253.82

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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.