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Finding the Third Proportional to 38,240 and 56,234

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Solution

The third proportional to 38,240 and 56,234 is: 82,695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,240 : 56,234 = 56,234 : x
  2. Step 2: Convert to fraction form
    38,240/56,234 = 56,234/x
  3. Step 3: Cross multiply
    38,240x = 56,234 × 56,234
  4. Step 4: Simplify right side
    38,240x = 3,162,262,756
  5. Step 5: Solve for x
    x = 3,162,262,756/38,240
  6. Step 6: Final answer
    x = 82,695.16

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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.