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Finding the Third Proportional to 38,914 and 56,670

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Solution

The third proportional to 38,914 and 56,670 is: 82,527.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,914 : 56,670 = 56,670 : x
  2. Step 2: Convert to fraction form
    38,914/56,670 = 56,670/x
  3. Step 3: Cross multiply
    38,914x = 56,670 × 56,670
  4. Step 4: Simplify right side
    38,914x = 3,211,488,900
  5. Step 5: Solve for x
    x = 3,211,488,900/38,914
  6. Step 6: Final answer
    x = 82,527.85

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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.