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Finding the Third Proportional to 32,570 and 71,374

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Solution

The third proportional to 32,570 and 71,374 is: 156,409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,570 : 71,374 = 71,374 : x
  2. Step 2: Convert to fraction form
    32,570/71,374 = 71,374/x
  3. Step 3: Cross multiply
    32,570x = 71,374 × 71,374
  4. Step 4: Simplify right side
    32,570x = 5,094,247,876
  5. Step 5: Solve for x
    x = 5,094,247,876/32,570
  6. Step 6: Final answer
    x = 156,409.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.