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Finding the Third Proportional to 6,868.50 and 9,330.38

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Solution

The third proportional to 6,868.50 and 9,330.38 is: 12,674.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,868.50 : 9,330.38 = 9,330.38 : x
  2. Step 2: Convert to fraction form
    6,868.50/9,330.38 = 9,330.38/x
  3. Step 3: Cross multiply
    6,868.50x = 9,330.38 × 9,330.38
  4. Step 4: Simplify right side
    6,868.50x = 87,055,897.64
  5. Step 5: Solve for x
    x = 87,055,897.64/6,868.50
  6. Step 6: Final answer
    x = 12,674.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.