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Finding the Third Proportional to 12,139.88 and 16,401.23

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Solution

The third proportional to 12,139.88 and 16,401.23 is: 22,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,139.88 : 16,401.23 = 16,401.23 : x
  2. Step 2: Convert to fraction form
    12,139.88/16,401.23 = 16,401.23/x
  3. Step 3: Cross multiply
    12,139.88x = 16,401.23 × 16,401.23
  4. Step 4: Simplify right side
    12,139.88x = 269,000,489.02
  5. Step 5: Solve for x
    x = 269,000,489.02/12,139.88
  6. Step 6: Final answer
    x = 22,158.42

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.