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Finding the Third Proportional to 38,830 and 58,282

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Solution

The third proportional to 38,830 and 58,282 is: 87,478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,830 : 58,282 = 58,282 : x
  2. Step 2: Convert to fraction form
    38,830/58,282 = 58,282/x
  3. Step 3: Cross multiply
    38,830x = 58,282 × 58,282
  4. Step 4: Simplify right side
    38,830x = 3,396,791,524
  5. Step 5: Solve for x
    x = 3,396,791,524/38,830
  6. Step 6: Final answer
    x = 87,478.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.