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Finding the Third Proportional to 41,924 and 56,966

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Solution

The third proportional to 41,924 and 56,966 is: 77,404.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,924 : 56,966 = 56,966 : x
  2. Step 2: Convert to fraction form
    41,924/56,966 = 56,966/x
  3. Step 3: Cross multiply
    41,924x = 56,966 × 56,966
  4. Step 4: Simplify right side
    41,924x = 3,245,125,156
  5. Step 5: Solve for x
    x = 3,245,125,156/41,924
  6. Step 6: Final answer
    x = 77,404.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.