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Finding the Third Proportional to 7,314 and 17,378

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Solution

The third proportional to 7,314 and 17,378 is: 41,289.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314 : 17,378 = 17,378 : x
  2. Step 2: Convert to fraction form
    7,314/17,378 = 17,378/x
  3. Step 3: Cross multiply
    7,314x = 17,378 × 17,378
  4. Step 4: Simplify right side
    7,314x = 301,994,884
  5. Step 5: Solve for x
    x = 301,994,884/7,314
  6. Step 6: Final answer
    x = 41,289.98

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.