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Finding the Third Proportional to 33,911.31 and 49,886.67

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Solution

The third proportional to 33,911.31 and 49,886.67 is: 73,387.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,911.31 : 49,886.67 = 49,886.67 : x
  2. Step 2: Convert to fraction form
    33,911.31/49,886.67 = 49,886.67/x
  3. Step 3: Cross multiply
    33,911.31x = 49,886.67 × 49,886.67
  4. Step 4: Simplify right side
    33,911.31x = 2,488,679,446.15
  5. Step 5: Solve for x
    x = 2,488,679,446.15/33,911.31
  6. Step 6: Final answer
    x = 73,387.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.