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Finding the Third Proportional to 19,729 and 27,750

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Solution

The third proportional to 19,729 and 27,750 is: 39,032.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,729 : 27,750 = 27,750 : x
  2. Step 2: Convert to fraction form
    19,729/27,750 = 27,750/x
  3. Step 3: Cross multiply
    19,729x = 27,750 × 27,750
  4. Step 4: Simplify right side
    19,729x = 770,062,500
  5. Step 5: Solve for x
    x = 770,062,500/19,729
  6. Step 6: Final answer
    x = 39,032.01

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.