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Finding the Third Proportional to 7,670 and 17,922

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Solution

The third proportional to 7,670 and 17,922 is: 41,877.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670 : 17,922 = 17,922 : x
  2. Step 2: Convert to fraction form
    7,670/17,922 = 17,922/x
  3. Step 3: Cross multiply
    7,670x = 17,922 × 17,922
  4. Step 4: Simplify right side
    7,670x = 321,198,084
  5. Step 5: Solve for x
    x = 321,198,084/7,670
  6. Step 6: Final answer
    x = 41,877.19

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.