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Finding the Third Proportional to 33,708.75 and 73,395.75

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Solution

The third proportional to 33,708.75 and 73,395.75 is: 159,808.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,708.75 : 73,395.75 = 73,395.75 : x
  2. Step 2: Convert to fraction form
    33,708.75/73,395.75 = 73,395.75/x
  3. Step 3: Cross multiply
    33,708.75x = 73,395.75 × 73,395.75
  4. Step 4: Simplify right side
    33,708.75x = 5,386,936,118.06
  5. Step 5: Solve for x
    x = 5,386,936,118.06/33,708.75
  6. Step 6: Final answer
    x = 159,808.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.