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Finding the Third Proportional to 6,960 and 8,806.50

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Solution

The third proportional to 6,960 and 8,806.50 is: 11,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960 : 8,806.50 = 8,806.50 : x
  2. Step 2: Convert to fraction form
    6,960/8,806.50 = 8,806.50/x
  3. Step 3: Cross multiply
    6,960x = 8,806.50 × 8,806.50
  4. Step 4: Simplify right side
    6,960x = 77,554,442.25
  5. Step 5: Solve for x
    x = 77,554,442.25/6,960
  6. Step 6: Final answer
    x = 11,142.88

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.