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Finding the Third Proportional to 42,882 and 66,267

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Solution

The third proportional to 42,882 and 66,267 is: 102,404.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,882 : 66,267 = 66,267 : x
  2. Step 2: Convert to fraction form
    42,882/66,267 = 66,267/x
  3. Step 3: Cross multiply
    42,882x = 66,267 × 66,267
  4. Step 4: Simplify right side
    42,882x = 4,391,315,289
  5. Step 5: Solve for x
    x = 4,391,315,289/42,882
  6. Step 6: Final answer
    x = 102,404.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.