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Finding the Third Proportional to 19,755 and 27,444

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Solution

The third proportional to 19,755 and 27,444 is: 38,125.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,755 : 27,444 = 27,444 : x
  2. Step 2: Convert to fraction form
    19,755/27,444 = 27,444/x
  3. Step 3: Cross multiply
    19,755x = 27,444 × 27,444
  4. Step 4: Simplify right side
    19,755x = 753,173,136
  5. Step 5: Solve for x
    x = 753,173,136/19,755
  6. Step 6: Final answer
    x = 38,125.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.