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Finding the Third Proportional to 22,034 and 42,961

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Solution

The third proportional to 22,034 and 42,961 is: 83,763.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,034 : 42,961 = 42,961 : x
  2. Step 2: Convert to fraction form
    22,034/42,961 = 42,961/x
  3. Step 3: Cross multiply
    22,034x = 42,961 × 42,961
  4. Step 4: Simplify right side
    22,034x = 1,845,647,521
  5. Step 5: Solve for x
    x = 1,845,647,521/22,034
  6. Step 6: Final answer
    x = 83,763.62

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.