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Finding the Third Proportional to 32,743 and 71,484

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Solution

The third proportional to 32,743 and 71,484 is: 156,062.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,743 : 71,484 = 71,484 : x
  2. Step 2: Convert to fraction form
    32,743/71,484 = 71,484/x
  3. Step 3: Cross multiply
    32,743x = 71,484 × 71,484
  4. Step 4: Simplify right side
    32,743x = 5,109,962,256
  5. Step 5: Solve for x
    x = 5,109,962,256/32,743
  6. Step 6: Final answer
    x = 156,062.74

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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.