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Finding the Third Proportional to 8,106.75 and 8,952.19

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Solution

The third proportional to 8,106.75 and 8,952.19 is: 9,885.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.75 : 8,952.19 = 8,952.19 : x
  2. Step 2: Convert to fraction form
    8,106.75/8,952.19 = 8,952.19/x
  3. Step 3: Cross multiply
    8,106.75x = 8,952.19 × 8,952.19
  4. Step 4: Simplify right side
    8,106.75x = 80,141,661.04
  5. Step 5: Solve for x
    x = 80,141,661.04/8,106.75
  6. Step 6: Final answer
    x = 9,885.79

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.