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Finding the Third Proportional to 5,048 and 8,404

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Solution

The third proportional to 5,048 and 8,404 is: 13,991.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048 : 8,404 = 8,404 : x
  2. Step 2: Convert to fraction form
    5,048/8,404 = 8,404/x
  3. Step 3: Cross multiply
    5,048x = 8,404 × 8,404
  4. Step 4: Simplify right side
    5,048x = 70,627,216
  5. Step 5: Solve for x
    x = 70,627,216/5,048
  6. Step 6: Final answer
    x = 13,991.13

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.