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Finding the Third Proportional to 27,886 and 49,166

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Solution

The third proportional to 27,886 and 49,166 is: 86,684.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,886 : 49,166 = 49,166 : x
  2. Step 2: Convert to fraction form
    27,886/49,166 = 49,166/x
  3. Step 3: Cross multiply
    27,886x = 49,166 × 49,166
  4. Step 4: Simplify right side
    27,886x = 2,417,295,556
  5. Step 5: Solve for x
    x = 2,417,295,556/27,886
  6. Step 6: Final answer
    x = 86,684.92

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.