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Finding the Third Proportional to 38,310.38 and 81,228.38

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Solution

The third proportional to 38,310.38 and 81,228.38 is: 172,226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,310.38 : 81,228.38 = 81,228.38 : x
  2. Step 2: Convert to fraction form
    38,310.38/81,228.38 = 81,228.38/x
  3. Step 3: Cross multiply
    38,310.38x = 81,228.38 × 81,228.38
  4. Step 4: Simplify right side
    38,310.38x = 6,598,048,905.14
  5. Step 5: Solve for x
    x = 6,598,048,905.14/38,310.38
  6. Step 6: Final answer
    x = 172,226.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.