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Finding the Third Proportional to 7,706 and 8,921

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Solution

The third proportional to 7,706 and 8,921 is: 10,327.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706 : 8,921 = 8,921 : x
  2. Step 2: Convert to fraction form
    7,706/8,921 = 8,921/x
  3. Step 3: Cross multiply
    7,706x = 8,921 × 8,921
  4. Step 4: Simplify right side
    7,706x = 79,584,241
  5. Step 5: Solve for x
    x = 79,584,241/7,706
  6. Step 6: Final answer
    x = 10,327.57

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.