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Finding the Third Proportional to 31,680 and 44,291

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Solution

The third proportional to 31,680 and 44,291 is: 61,922.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,680 : 44,291 = 44,291 : x
  2. Step 2: Convert to fraction form
    31,680/44,291 = 44,291/x
  3. Step 3: Cross multiply
    31,680x = 44,291 × 44,291
  4. Step 4: Simplify right side
    31,680x = 1,961,692,681
  5. Step 5: Solve for x
    x = 1,961,692,681/31,680
  6. Step 6: Final answer
    x = 61,922.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.