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Finding the Third Proportional to 12,378 and 17,448

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Solution

The third proportional to 12,378 and 17,448 is: 24,594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378 : 17,448 = 17,448 : x
  2. Step 2: Convert to fraction form
    12,378/17,448 = 17,448/x
  3. Step 3: Cross multiply
    12,378x = 17,448 × 17,448
  4. Step 4: Simplify right side
    12,378x = 304,432,704
  5. Step 5: Solve for x
    x = 304,432,704/12,378
  6. Step 6: Final answer
    x = 24,594.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.