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Finding the Third Proportional to 33,356.81 and 49,911.19

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Solution

The third proportional to 33,356.81 and 49,911.19 is: 74,681.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,356.81 : 49,911.19 = 49,911.19 : x
  2. Step 2: Convert to fraction form
    33,356.81/49,911.19 = 49,911.19/x
  3. Step 3: Cross multiply
    33,356.81x = 49,911.19 × 49,911.19
  4. Step 4: Simplify right side
    33,356.81x = 2,491,126,637.66
  5. Step 5: Solve for x
    x = 2,491,126,637.66/33,356.81
  6. Step 6: Final answer
    x = 74,681.20

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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.