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Finding the Third Proportional to 7,726 and 8,698

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Solution

The third proportional to 7,726 and 8,698 is: 9,792.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726 : 8,698 = 8,698 : x
  2. Step 2: Convert to fraction form
    7,726/8,698 = 8,698/x
  3. Step 3: Cross multiply
    7,726x = 8,698 × 8,698
  4. Step 4: Simplify right side
    7,726x = 75,655,204
  5. Step 5: Solve for x
    x = 75,655,204/7,726
  6. Step 6: Final answer
    x = 9,792.29

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.