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Finding the Third Proportional to 7,382 and 8,186

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Solution

The third proportional to 7,382 and 8,186 is: 9,077.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382 : 8,186 = 8,186 : x
  2. Step 2: Convert to fraction form
    7,382/8,186 = 8,186/x
  3. Step 3: Cross multiply
    7,382x = 8,186 × 8,186
  4. Step 4: Simplify right side
    7,382x = 67,010,596
  5. Step 5: Solve for x
    x = 67,010,596/7,382
  6. Step 6: Final answer
    x = 9,077.57

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.