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Finding the Third Proportional to 52,512.75 and 83,517.75

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Solution

The third proportional to 52,512.75 and 83,517.75 is: 132,828.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,512.75 : 83,517.75 = 83,517.75 : x
  2. Step 2: Convert to fraction form
    52,512.75/83,517.75 = 83,517.75/x
  3. Step 3: Cross multiply
    52,512.75x = 83,517.75 × 83,517.75
  4. Step 4: Simplify right side
    52,512.75x = 6,975,214,565.06
  5. Step 5: Solve for x
    x = 6,975,214,565.06/52,512.75
  6. Step 6: Final answer
    x = 132,828.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.