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Finding the Third Proportional to 27,736 and 49,316

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Solution

The third proportional to 27,736 and 49,316 is: 87,686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,736 : 49,316 = 49,316 : x
  2. Step 2: Convert to fraction form
    27,736/49,316 = 49,316/x
  3. Step 3: Cross multiply
    27,736x = 49,316 × 49,316
  4. Step 4: Simplify right side
    27,736x = 2,432,067,856
  5. Step 5: Solve for x
    x = 2,432,067,856/27,736
  6. Step 6: Final answer
    x = 87,686.32

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.