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Finding the Third Proportional to 6,982.88 and 9,379.13

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Solution

The third proportional to 6,982.88 and 9,379.13 is: 12,597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.88 : 9,379.13 = 9,379.13 : x
  2. Step 2: Convert to fraction form
    6,982.88/9,379.13 = 9,379.13/x
  3. Step 3: Cross multiply
    6,982.88x = 9,379.13 × 9,379.13
  4. Step 4: Simplify right side
    6,982.88x = 87,967,985.77
  5. Step 5: Solve for x
    x = 87,967,985.77/6,982.88
  6. Step 6: Final answer
    x = 12,597.67

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.