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Finding the Third Proportional to 27,657 and 43,974

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Solution

The third proportional to 27,657 and 43,974 is: 69,917.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657 : 43,974 = 43,974 : x
  2. Step 2: Convert to fraction form
    27,657/43,974 = 43,974/x
  3. Step 3: Cross multiply
    27,657x = 43,974 × 43,974
  4. Step 4: Simplify right side
    27,657x = 1,933,712,676
  5. Step 5: Solve for x
    x = 1,933,712,676/27,657
  6. Step 6: Final answer
    x = 69,917.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.