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Finding the Third Proportional to 3,412 and 7,448

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Solution

The third proportional to 3,412 and 7,448 is: 16,258.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412 : 7,448 = 7,448 : x
  2. Step 2: Convert to fraction form
    3,412/7,448 = 7,448/x
  3. Step 3: Cross multiply
    3,412x = 7,448 × 7,448
  4. Step 4: Simplify right side
    3,412x = 55,472,704
  5. Step 5: Solve for x
    x = 55,472,704/3,412
  6. Step 6: Final answer
    x = 16,258.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.