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Finding the Third Proportional to 38,420 and 56,262

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Solution

The third proportional to 38,420 and 56,262 is: 82,389.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,420 : 56,262 = 56,262 : x
  2. Step 2: Convert to fraction form
    38,420/56,262 = 56,262/x
  3. Step 3: Cross multiply
    38,420x = 56,262 × 56,262
  4. Step 4: Simplify right side
    38,420x = 3,165,412,644
  5. Step 5: Solve for x
    x = 3,165,412,644/38,420
  6. Step 6: Final answer
    x = 82,389.71

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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.