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Finding the Third Proportional to 8,960 and 10,144

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Solution

The third proportional to 8,960 and 10,144 is: 11,484.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,960 : 10,144 = 10,144 : x
  2. Step 2: Convert to fraction form
    8,960/10,144 = 10,144/x
  3. Step 3: Cross multiply
    8,960x = 10,144 × 10,144
  4. Step 4: Simplify right side
    8,960x = 102,900,736
  5. Step 5: Solve for x
    x = 102,900,736/8,960
  6. Step 6: Final answer
    x = 11,484.46

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.