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Finding the Third Proportional to 27,676 and 42,926

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Solution

The third proportional to 27,676 and 42,926 is: 66,579.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,676 : 42,926 = 42,926 : x
  2. Step 2: Convert to fraction form
    27,676/42,926 = 42,926/x
  3. Step 3: Cross multiply
    27,676x = 42,926 × 42,926
  4. Step 4: Simplify right side
    27,676x = 1,842,641,476
  5. Step 5: Solve for x
    x = 1,842,641,476/27,676
  6. Step 6: Final answer
    x = 66,579.04

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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.