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Finding the Third Proportional to 31,834 and 66,282

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Solution

The third proportional to 31,834 and 66,282 is: 138,006.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,834 : 66,282 = 66,282 : x
  2. Step 2: Convert to fraction form
    31,834/66,282 = 66,282/x
  3. Step 3: Cross multiply
    31,834x = 66,282 × 66,282
  4. Step 4: Simplify right side
    31,834x = 4,393,303,524
  5. Step 5: Solve for x
    x = 4,393,303,524/31,834
  6. Step 6: Final answer
    x = 138,006.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.