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Finding the Third Proportional to 33,778.90 and 49,275.84

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Solution

The third proportional to 33,778.90 and 49,275.84 is: 71,882.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,778.90 : 49,275.84 = 49,275.84 : x
  2. Step 2: Convert to fraction form
    33,778.90/49,275.84 = 49,275.84/x
  3. Step 3: Cross multiply
    33,778.90x = 49,275.84 × 49,275.84
  4. Step 4: Simplify right side
    33,778.90x = 2,428,108,777.27
  5. Step 5: Solve for x
    x = 2,428,108,777.27/33,778.90
  6. Step 6: Final answer
    x = 71,882.41

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.