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Finding the Third Proportional to 25,010 and 41,691

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Solution

The third proportional to 25,010 and 41,691 is: 69,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,010 : 41,691 = 41,691 : x
  2. Step 2: Convert to fraction form
    25,010/41,691 = 41,691/x
  3. Step 3: Cross multiply
    25,010x = 41,691 × 41,691
  4. Step 4: Simplify right side
    25,010x = 1,738,139,481
  5. Step 5: Solve for x
    x = 1,738,139,481/25,010
  6. Step 6: Final answer
    x = 69,497.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.