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Finding the Third Proportional to 7,314 and 10,675

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Solution

The third proportional to 7,314 and 10,675 is: 15,580.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314 : 10,675 = 10,675 : x
  2. Step 2: Convert to fraction form
    7,314/10,675 = 10,675/x
  3. Step 3: Cross multiply
    7,314x = 10,675 × 10,675
  4. Step 4: Simplify right side
    7,314x = 113,955,625
  5. Step 5: Solve for x
    x = 113,955,625/7,314
  6. Step 6: Final answer
    x = 15,580.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.