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Finding the Third Proportional to 31,840 and 49,217

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Solution

The third proportional to 31,840 and 49,217 is: 76,077.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,840 : 49,217 = 49,217 : x
  2. Step 2: Convert to fraction form
    31,840/49,217 = 49,217/x
  3. Step 3: Cross multiply
    31,840x = 49,217 × 49,217
  4. Step 4: Simplify right side
    31,840x = 2,422,313,089
  5. Step 5: Solve for x
    x = 2,422,313,089/31,840
  6. Step 6: Final answer
    x = 76,077.67

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.