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Finding the Third Proportional to 33,689.25 and 66,831.75

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Solution

The third proportional to 33,689.25 and 66,831.75 is: 132,578.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,689.25 : 66,831.75 = 66,831.75 : x
  2. Step 2: Convert to fraction form
    33,689.25/66,831.75 = 66,831.75/x
  3. Step 3: Cross multiply
    33,689.25x = 66,831.75 × 66,831.75
  4. Step 4: Simplify right side
    33,689.25x = 4,466,482,808.06
  5. Step 5: Solve for x
    x = 4,466,482,808.06/33,689.25
  6. Step 6: Final answer
    x = 132,578.87

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.