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Finding the Third Proportional to 18,954 and 22,204.13

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Solution

The third proportional to 18,954 and 22,204.13 is: 26,011.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,954 : 22,204.13 = 22,204.13 : x
  2. Step 2: Convert to fraction form
    18,954/22,204.13 = 22,204.13/x
  3. Step 3: Cross multiply
    18,954x = 22,204.13 × 22,204.13
  4. Step 4: Simplify right side
    18,954x = 493,023,167.02
  5. Step 5: Solve for x
    x = 493,023,167.02/18,954
  6. Step 6: Final answer
    x = 26,011.56

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.