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Finding the Third Proportional to 8,416 and 13,048

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Solution

The third proportional to 8,416 and 13,048 is: 20,229.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416 : 13,048 = 13,048 : x
  2. Step 2: Convert to fraction form
    8,416/13,048 = 13,048/x
  3. Step 3: Cross multiply
    8,416x = 13,048 × 13,048
  4. Step 4: Simplify right side
    8,416x = 170,250,304
  5. Step 5: Solve for x
    x = 170,250,304/8,416
  6. Step 6: Final answer
    x = 20,229.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.