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Finding the Third Proportional to 27,772 and 36,042

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Solution

The third proportional to 27,772 and 36,042 is: 46,774.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772 : 36,042 = 36,042 : x
  2. Step 2: Convert to fraction form
    27,772/36,042 = 36,042/x
  3. Step 3: Cross multiply
    27,772x = 36,042 × 36,042
  4. Step 4: Simplify right side
    27,772x = 1,299,025,764
  5. Step 5: Solve for x
    x = 1,299,025,764/27,772
  6. Step 6: Final answer
    x = 46,774.66

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.