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Finding the Third Proportional to 42,782 and 62,228

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Solution

The third proportional to 42,782 and 62,228 is: 90,512.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,782 : 62,228 = 62,228 : x
  2. Step 2: Convert to fraction form
    42,782/62,228 = 62,228/x
  3. Step 3: Cross multiply
    42,782x = 62,228 × 62,228
  4. Step 4: Simplify right side
    42,782x = 3,872,323,984
  5. Step 5: Solve for x
    x = 3,872,323,984/42,782
  6. Step 6: Final answer
    x = 90,512.93

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.