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Finding the Third Proportional to 22,670 and 35,189

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Solution

The third proportional to 22,670 and 35,189 is: 54,621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,670 : 35,189 = 35,189 : x
  2. Step 2: Convert to fraction form
    22,670/35,189 = 35,189/x
  3. Step 3: Cross multiply
    22,670x = 35,189 × 35,189
  4. Step 4: Simplify right side
    22,670x = 1,238,265,721
  5. Step 5: Solve for x
    x = 1,238,265,721/22,670
  6. Step 6: Final answer
    x = 54,621.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.