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Finding the Third Proportional to 8,736 and 10,960

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Solution

The third proportional to 8,736 and 10,960 is: 13,750.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,736 : 10,960 = 10,960 : x
  2. Step 2: Convert to fraction form
    8,736/10,960 = 10,960/x
  3. Step 3: Cross multiply
    8,736x = 10,960 × 10,960
  4. Step 4: Simplify right side
    8,736x = 120,121,600
  5. Step 5: Solve for x
    x = 120,121,600/8,736
  6. Step 6: Final answer
    x = 13,750.18

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.