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Finding the Third Proportional to 7,002 and 9,657

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Solution

The third proportional to 7,002 and 9,657 is: 13,318.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002 : 9,657 = 9,657 : x
  2. Step 2: Convert to fraction form
    7,002/9,657 = 9,657/x
  3. Step 3: Cross multiply
    7,002x = 9,657 × 9,657
  4. Step 4: Simplify right side
    7,002x = 93,257,649
  5. Step 5: Solve for x
    x = 93,257,649/7,002
  6. Step 6: Final answer
    x = 13,318.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.