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Finding the Third Proportional to 26,990 and 42,244

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Solution

The third proportional to 26,990 and 42,244 is: 66,119.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,990 : 42,244 = 42,244 : x
  2. Step 2: Convert to fraction form
    26,990/42,244 = 42,244/x
  3. Step 3: Cross multiply
    26,990x = 42,244 × 42,244
  4. Step 4: Simplify right side
    26,990x = 1,784,555,536
  5. Step 5: Solve for x
    x = 1,784,555,536/26,990
  6. Step 6: Final answer
    x = 66,119.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.