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Finding the Third Proportional to 31,414 and 48,579

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Solution

The third proportional to 31,414 and 48,579 is: 75,123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,414 : 48,579 = 48,579 : x
  2. Step 2: Convert to fraction form
    31,414/48,579 = 48,579/x
  3. Step 3: Cross multiply
    31,414x = 48,579 × 48,579
  4. Step 4: Simplify right side
    31,414x = 2,359,919,241
  5. Step 5: Solve for x
    x = 2,359,919,241/31,414
  6. Step 6: Final answer
    x = 75,123.17

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Why These Related Problems?

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