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Finding the Third Proportional to 7,482 and 10,399

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Solution

The third proportional to 7,482 and 10,399 is: 14,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,482 : 10,399 = 10,399 : x
  2. Step 2: Convert to fraction form
    7,482/10,399 = 10,399/x
  3. Step 3: Cross multiply
    7,482x = 10,399 × 10,399
  4. Step 4: Simplify right side
    7,482x = 108,139,201
  5. Step 5: Solve for x
    x = 108,139,201/7,482
  6. Step 6: Final answer
    x = 14,453.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.