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Finding the Third Proportional to 7,802 and 10,593

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Solution

The third proportional to 7,802 and 10,593 is: 14,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802 : 10,593 = 10,593 : x
  2. Step 2: Convert to fraction form
    7,802/10,593 = 10,593/x
  3. Step 3: Cross multiply
    7,802x = 10,593 × 10,593
  4. Step 4: Simplify right side
    7,802x = 112,211,649
  5. Step 5: Solve for x
    x = 112,211,649/7,802
  6. Step 6: Final answer
    x = 14,382.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.