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Finding the Third Proportional to 38,353.50 and 56,241

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Solution

The third proportional to 38,353.50 and 56,241 is: 82,470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,353.50 : 56,241 = 56,241 : x
  2. Step 2: Convert to fraction form
    38,353.50/56,241 = 56,241/x
  3. Step 3: Cross multiply
    38,353.50x = 56,241 × 56,241
  4. Step 4: Simplify right side
    38,353.50x = 3,163,050,081
  5. Step 5: Solve for x
    x = 3,163,050,081/38,353.50
  6. Step 6: Final answer
    x = 82,470.96

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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.