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Finding the Third Proportional to 8,544 and 10,416

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Solution

The third proportional to 8,544 and 10,416 is: 12,698.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,544 : 10,416 = 10,416 : x
  2. Step 2: Convert to fraction form
    8,544/10,416 = 10,416/x
  3. Step 3: Cross multiply
    8,544x = 10,416 × 10,416
  4. Step 4: Simplify right side
    8,544x = 108,493,056
  5. Step 5: Solve for x
    x = 108,493,056/8,544
  6. Step 6: Final answer
    x = 12,698.16

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.