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Finding the Third Proportional to 6,706.97 and 9,108.94

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Solution

The third proportional to 6,706.97 and 9,108.94 is: 12,371.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.97 : 9,108.94 = 9,108.94 : x
  2. Step 2: Convert to fraction form
    6,706.97/9,108.94 = 9,108.94/x
  3. Step 3: Cross multiply
    6,706.97x = 9,108.94 × 9,108.94
  4. Step 4: Simplify right side
    6,706.97x = 82,972,742.38
  5. Step 5: Solve for x
    x = 82,972,742.38/6,706.97
  6. Step 6: Final answer
    x = 12,371.12

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1.5x scale

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.