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Finding the Third Proportional to 12,538.94 and 18,363.11

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Solution

The third proportional to 12,538.94 and 18,363.11 is: 26,892.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.94 : 18,363.11 = 18,363.11 : x
  2. Step 2: Convert to fraction form
    12,538.94/18,363.11 = 18,363.11/x
  3. Step 3: Cross multiply
    12,538.94x = 18,363.11 × 18,363.11
  4. Step 4: Simplify right side
    12,538.94x = 337,203,857.65
  5. Step 5: Solve for x
    x = 337,203,857.65/12,538.94
  6. Step 6: Final answer
    x = 26,892.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.