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Finding the Third Proportional to 8,736 and 11,216

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Solution

The third proportional to 8,736 and 11,216 is: 14,400.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,736 : 11,216 = 11,216 : x
  2. Step 2: Convert to fraction form
    8,736/11,216 = 11,216/x
  3. Step 3: Cross multiply
    8,736x = 11,216 × 11,216
  4. Step 4: Simplify right side
    8,736x = 125,798,656
  5. Step 5: Solve for x
    x = 125,798,656/8,736
  6. Step 6: Final answer
    x = 14,400.03

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.