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Finding the Third Proportional to 7,144.13 and 10,989.38

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Solution

The third proportional to 7,144.13 and 10,989.38 is: 16,904.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.13 : 10,989.38 = 10,989.38 : x
  2. Step 2: Convert to fraction form
    7,144.13/10,989.38 = 10,989.38/x
  3. Step 3: Cross multiply
    7,144.13x = 10,989.38 × 10,989.38
  4. Step 4: Simplify right side
    7,144.13x = 120,766,362.89
  5. Step 5: Solve for x
    x = 120,766,362.89/7,144.13
  6. Step 6: Final answer
    x = 16,904.29

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.