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Finding the Third Proportional to 27,958 and 43,786

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Solution

The third proportional to 27,958 and 43,786 is: 68,574.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,958 : 43,786 = 43,786 : x
  2. Step 2: Convert to fraction form
    27,958/43,786 = 43,786/x
  3. Step 3: Cross multiply
    27,958x = 43,786 × 43,786
  4. Step 4: Simplify right side
    27,958x = 1,917,213,796
  5. Step 5: Solve for x
    x = 1,917,213,796/27,958
  6. Step 6: Final answer
    x = 68,574.78

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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.