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Finding the Third Proportional to 27,891 and 42,858

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Solution

The third proportional to 27,891 and 42,858 is: 65,856.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,891 : 42,858 = 42,858 : x
  2. Step 2: Convert to fraction form
    27,891/42,858 = 42,858/x
  3. Step 3: Cross multiply
    27,891x = 42,858 × 42,858
  4. Step 4: Simplify right side
    27,891x = 1,836,808,164
  5. Step 5: Solve for x
    x = 1,836,808,164/27,891
  6. Step 6: Final answer
    x = 65,856.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.