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Finding the Third Proportional to 26,357 and 41,882

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Solution

The third proportional to 26,357 and 41,882 is: 66,551.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,357 : 41,882 = 41,882 : x
  2. Step 2: Convert to fraction form
    26,357/41,882 = 41,882/x
  3. Step 3: Cross multiply
    26,357x = 41,882 × 41,882
  4. Step 4: Simplify right side
    26,357x = 1,754,101,924
  5. Step 5: Solve for x
    x = 1,754,101,924/26,357
  6. Step 6: Final answer
    x = 66,551.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.