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Finding the Third Proportional to 7,812 and 9,412

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Solution

The third proportional to 7,812 and 9,412 is: 11,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812 : 9,412 = 9,412 : x
  2. Step 2: Convert to fraction form
    7,812/9,412 = 9,412/x
  3. Step 3: Cross multiply
    7,812x = 9,412 × 9,412
  4. Step 4: Simplify right side
    7,812x = 88,585,744
  5. Step 5: Solve for x
    x = 88,585,744/7,812
  6. Step 6: Final answer
    x = 11,339.70

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.