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Finding the Third Proportional to 33,898.50 and 49,308.75

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Solution

The third proportional to 33,898.50 and 49,308.75 is: 71,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,898.50 : 49,308.75 = 49,308.75 : x
  2. Step 2: Convert to fraction form
    33,898.50/49,308.75 = 49,308.75/x
  3. Step 3: Cross multiply
    33,898.50x = 49,308.75 × 49,308.75
  4. Step 4: Simplify right side
    33,898.50x = 2,431,352,826.56
  5. Step 5: Solve for x
    x = 2,431,352,826.56/33,898.50
  6. Step 6: Final answer
    x = 71,724.50

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.