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Finding the Third Proportional to 31,444 and 66,380

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Solution

The third proportional to 31,444 and 66,380 is: 140,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,444 : 66,380 = 66,380 : x
  2. Step 2: Convert to fraction form
    31,444/66,380 = 66,380/x
  3. Step 3: Cross multiply
    31,444x = 66,380 × 66,380
  4. Step 4: Simplify right side
    31,444x = 4,406,304,400
  5. Step 5: Solve for x
    x = 4,406,304,400/31,444
  6. Step 6: Final answer
    x = 140,131.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.