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Finding the Third Proportional to 38,396 and 56,217

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Solution

The third proportional to 38,396 and 56,217 is: 82,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,396 : 56,217 = 56,217 : x
  2. Step 2: Convert to fraction form
    38,396/56,217 = 56,217/x
  3. Step 3: Cross multiply
    38,396x = 56,217 × 56,217
  4. Step 4: Simplify right side
    38,396x = 3,160,351,089
  5. Step 5: Solve for x
    x = 3,160,351,089/38,396
  6. Step 6: Final answer
    x = 82,309.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.