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Finding the Third Proportional to 33,509.81 and 51,839.16

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Solution

The third proportional to 33,509.81 and 51,839.16 is: 80,194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,509.81 : 51,839.16 = 51,839.16 : x
  2. Step 2: Convert to fraction form
    33,509.81/51,839.16 = 51,839.16/x
  3. Step 3: Cross multiply
    33,509.81x = 51,839.16 × 51,839.16
  4. Step 4: Simplify right side
    33,509.81x = 2,687,298,120.71
  5. Step 5: Solve for x
    x = 2,687,298,120.71/33,509.81
  6. Step 6: Final answer
    x = 80,194.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.