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Finding the Third Proportional to 7,098.38 and 10,980

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Solution

The third proportional to 7,098.38 and 10,980 is: 16,984.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.38 : 10,980 = 10,980 : x
  2. Step 2: Convert to fraction form
    7,098.38/10,980 = 10,980/x
  3. Step 3: Cross multiply
    7,098.38x = 10,980 × 10,980
  4. Step 4: Simplify right side
    7,098.38x = 120,560,400
  5. Step 5: Solve for x
    x = 120,560,400/7,098.38
  6. Step 6: Final answer
    x = 16,984.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.