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Finding the Third Proportional to 7,396 and 8,404

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Solution

The third proportional to 7,396 and 8,404 is: 9,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,396 : 8,404 = 8,404 : x
  2. Step 2: Convert to fraction form
    7,396/8,404 = 8,404/x
  3. Step 3: Cross multiply
    7,396x = 8,404 × 8,404
  4. Step 4: Simplify right side
    7,396x = 70,627,216
  5. Step 5: Solve for x
    x = 70,627,216/7,396
  6. Step 6: Final answer
    x = 9,549.38

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.