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Finding the Third Proportional to 5,197 and 7,404

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Solution

The third proportional to 5,197 and 7,404 is: 10,548.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197 : 7,404 = 7,404 : x
  2. Step 2: Convert to fraction form
    5,197/7,404 = 7,404/x
  3. Step 3: Cross multiply
    5,197x = 7,404 × 7,404
  4. Step 4: Simplify right side
    5,197x = 54,819,216
  5. Step 5: Solve for x
    x = 54,819,216/5,197
  6. Step 6: Final answer
    x = 10,548.24

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.