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Finding the Third Proportional to 38,282 and 56,329

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Solution

The third proportional to 38,282 and 56,329 is: 82,883.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,282 : 56,329 = 56,329 : x
  2. Step 2: Convert to fraction form
    38,282/56,329 = 56,329/x
  3. Step 3: Cross multiply
    38,282x = 56,329 × 56,329
  4. Step 4: Simplify right side
    38,282x = 3,172,956,241
  5. Step 5: Solve for x
    x = 3,172,956,241/38,282
  6. Step 6: Final answer
    x = 82,883.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.