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Finding the Third Proportional to 10,204.31 and 22,231.13

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Solution

The third proportional to 10,204.31 and 22,231.13 is: 48,432.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.31 : 22,231.13 = 22,231.13 : x
  2. Step 2: Convert to fraction form
    10,204.31/22,231.13 = 22,231.13/x
  3. Step 3: Cross multiply
    10,204.31x = 22,231.13 × 22,231.13
  4. Step 4: Simplify right side
    10,204.31x = 494,222,918.77
  5. Step 5: Solve for x
    x = 494,222,918.77/10,204.31
  6. Step 6: Final answer
    x = 48,432.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.