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Finding the Third Proportional to 38,833.50 and 83,331

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Solution

The third proportional to 38,833.50 and 83,331 is: 178,816.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,833.50 : 83,331 = 83,331 : x
  2. Step 2: Convert to fraction form
    38,833.50/83,331 = 83,331/x
  3. Step 3: Cross multiply
    38,833.50x = 83,331 × 83,331
  4. Step 4: Simplify right side
    38,833.50x = 6,944,055,561
  5. Step 5: Solve for x
    x = 6,944,055,561/38,833.50
  6. Step 6: Final answer
    x = 178,816.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.