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Finding the Third Proportional to 32,440 and 71,265

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Solution

The third proportional to 32,440 and 71,265 is: 156,556.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,440 : 71,265 = 71,265 : x
  2. Step 2: Convert to fraction form
    32,440/71,265 = 71,265/x
  3. Step 3: Cross multiply
    32,440x = 71,265 × 71,265
  4. Step 4: Simplify right side
    32,440x = 5,078,700,225
  5. Step 5: Solve for x
    x = 5,078,700,225/32,440
  6. Step 6: Final answer
    x = 156,556.73

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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.