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Finding the Third Proportional to 32,474 and 71,284

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Solution

The third proportional to 32,474 and 71,284 is: 156,476.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,474 : 71,284 = 71,284 : x
  2. Step 2: Convert to fraction form
    32,474/71,284 = 71,284/x
  3. Step 3: Cross multiply
    32,474x = 71,284 × 71,284
  4. Step 4: Simplify right side
    32,474x = 5,081,408,656
  5. Step 5: Solve for x
    x = 5,081,408,656/32,474
  6. Step 6: Final answer
    x = 156,476.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.