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Finding the Third Proportional to 5,910.38 and 8,988.38

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Solution

The third proportional to 5,910.38 and 8,988.38 is: 13,669.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,910.38 : 8,988.38 = 8,988.38 : x
  2. Step 2: Convert to fraction form
    5,910.38/8,988.38 = 8,988.38/x
  3. Step 3: Cross multiply
    5,910.38x = 8,988.38 × 8,988.38
  4. Step 4: Simplify right side
    5,910.38x = 80,790,885.14
  5. Step 5: Solve for x
    x = 80,790,885.14/5,910.38
  6. Step 6: Final answer
    x = 13,669.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.