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Finding the Third Proportional to 19,752 and 27,738

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Solution

The third proportional to 19,752 and 27,738 is: 38,952.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,752 : 27,738 = 27,738 : x
  2. Step 2: Convert to fraction form
    19,752/27,738 = 27,738/x
  3. Step 3: Cross multiply
    19,752x = 27,738 × 27,738
  4. Step 4: Simplify right side
    19,752x = 769,396,644
  5. Step 5: Solve for x
    x = 769,396,644/19,752
  6. Step 6: Final answer
    x = 38,952.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.