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Finding the Third Proportional to 7,474 and 9,822

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Solution

The third proportional to 7,474 and 9,822 is: 12,907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474 : 9,822 = 9,822 : x
  2. Step 2: Convert to fraction form
    7,474/9,822 = 9,822/x
  3. Step 3: Cross multiply
    7,474x = 9,822 × 9,822
  4. Step 4: Simplify right side
    7,474x = 96,471,684
  5. Step 5: Solve for x
    x = 96,471,684/7,474
  6. Step 6: Final answer
    x = 12,907.64

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.