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Finding the Third Proportional to 38,124 and 83,517.75

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Solution

The third proportional to 38,124 and 83,517.75 is: 182,961.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,124 : 83,517.75 = 83,517.75 : x
  2. Step 2: Convert to fraction form
    38,124/83,517.75 = 83,517.75/x
  3. Step 3: Cross multiply
    38,124x = 83,517.75 × 83,517.75
  4. Step 4: Simplify right side
    38,124x = 6,975,214,565.06
  5. Step 5: Solve for x
    x = 6,975,214,565.06/38,124
  6. Step 6: Final answer
    x = 182,961.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.