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Finding the Third Proportional to 38,228 and 51,630

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Solution

The third proportional to 38,228 and 51,630 is: 69,730.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,228 : 51,630 = 51,630 : x
  2. Step 2: Convert to fraction form
    38,228/51,630 = 51,630/x
  3. Step 3: Cross multiply
    38,228x = 51,630 × 51,630
  4. Step 4: Simplify right side
    38,228x = 2,665,656,900
  5. Step 5: Solve for x
    x = 2,665,656,900/38,228
  6. Step 6: Final answer
    x = 69,730.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.