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Finding the Third Proportional to 4,108 and 7,448

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Solution

The third proportional to 4,108 and 7,448 is: 13,503.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,108 : 7,448 = 7,448 : x
  2. Step 2: Convert to fraction form
    4,108/7,448 = 7,448/x
  3. Step 3: Cross multiply
    4,108x = 7,448 × 7,448
  4. Step 4: Simplify right side
    4,108x = 55,472,704
  5. Step 5: Solve for x
    x = 55,472,704/4,108
  6. Step 6: Final answer
    x = 13,503.58

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.