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Finding the Third Proportional to 8,404 and 9,544

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Solution

The third proportional to 8,404 and 9,544 is: 10,838.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404 : 9,544 = 9,544 : x
  2. Step 2: Convert to fraction form
    8,404/9,544 = 9,544/x
  3. Step 3: Cross multiply
    8,404x = 9,544 × 9,544
  4. Step 4: Simplify right side
    8,404x = 91,087,936
  5. Step 5: Solve for x
    x = 91,087,936/8,404
  6. Step 6: Final answer
    x = 10,838.64

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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.