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Finding the Third Proportional to 7,964 and 10,812

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Solution

The third proportional to 7,964 and 10,812 is: 14,678.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964 : 10,812 = 10,812 : x
  2. Step 2: Convert to fraction form
    7,964/10,812 = 10,812/x
  3. Step 3: Cross multiply
    7,964x = 10,812 × 10,812
  4. Step 4: Simplify right side
    7,964x = 116,899,344
  5. Step 5: Solve for x
    x = 116,899,344/7,964
  6. Step 6: Final answer
    x = 14,678.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.