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Finding the Third Proportional to 33,277.50 and 49,798.13

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Solution

The third proportional to 33,277.50 and 49,798.13 is: 74,520.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,277.50 : 49,798.13 = 49,798.13 : x
  2. Step 2: Convert to fraction form
    33,277.50/49,798.13 = 49,798.13/x
  3. Step 3: Cross multiply
    33,277.50x = 49,798.13 × 49,798.13
  4. Step 4: Simplify right side
    33,277.50x = 2,479,853,253.52
  5. Step 5: Solve for x
    x = 2,479,853,253.52/33,277.50
  6. Step 6: Final answer
    x = 74,520.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.