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Finding the Third Proportional to 27,732 and 49,308

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Solution

The third proportional to 27,732 and 49,308 is: 87,670.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,732 : 49,308 = 49,308 : x
  2. Step 2: Convert to fraction form
    27,732/49,308 = 49,308/x
  3. Step 3: Cross multiply
    27,732x = 49,308 × 49,308
  4. Step 4: Simplify right side
    27,732x = 2,431,278,864
  5. Step 5: Solve for x
    x = 2,431,278,864/27,732
  6. Step 6: Final answer
    x = 87,670.52

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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.