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Finding the Third Proportional to 38,000.81 and 80,922.38

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Solution

The third proportional to 38,000.81 and 80,922.38 is: 172,323.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,000.81 : 80,922.38 = 80,922.38 : x
  2. Step 2: Convert to fraction form
    38,000.81/80,922.38 = 80,922.38/x
  3. Step 3: Cross multiply
    38,000.81x = 80,922.38 × 80,922.38
  4. Step 4: Simplify right side
    38,000.81x = 6,548,430,775.64
  5. Step 5: Solve for x
    x = 6,548,430,775.64/38,000.81
  6. Step 6: Final answer
    x = 172,323.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.