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Finding the Third Proportional to 31,704 and 66,984

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Solution

The third proportional to 31,704 and 66,984 is: 141,523.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,704 : 66,984 = 66,984 : x
  2. Step 2: Convert to fraction form
    31,704/66,984 = 66,984/x
  3. Step 3: Cross multiply
    31,704x = 66,984 × 66,984
  4. Step 4: Simplify right side
    31,704x = 4,486,856,256
  5. Step 5: Solve for x
    x = 4,486,856,256/31,704
  6. Step 6: Final answer
    x = 141,523.35

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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.