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Finding the Third Proportional to 38,281 and 56,086

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Solution

The third proportional to 38,281 and 56,086 is: 82,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,281 : 56,086 = 56,086 : x
  2. Step 2: Convert to fraction form
    38,281/56,086 = 56,086/x
  3. Step 3: Cross multiply
    38,281x = 56,086 × 56,086
  4. Step 4: Simplify right side
    38,281x = 3,145,639,396
  5. Step 5: Solve for x
    x = 3,145,639,396/38,281
  6. Step 6: Final answer
    x = 82,172.34

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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.