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Finding the Third Proportional to 30,711 and 66,981

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Solution

The third proportional to 30,711 and 66,981 is: 146,086.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,711 : 66,981 = 66,981 : x
  2. Step 2: Convert to fraction form
    30,711/66,981 = 66,981/x
  3. Step 3: Cross multiply
    30,711x = 66,981 × 66,981
  4. Step 4: Simplify right side
    30,711x = 4,486,454,361
  5. Step 5: Solve for x
    x = 4,486,454,361/30,711
  6. Step 6: Final answer
    x = 146,086.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.