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Finding the Third Proportional to 19,744 and 31,400

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Solution

The third proportional to 19,744 and 31,400 is: 49,937.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,744 : 31,400 = 31,400 : x
  2. Step 2: Convert to fraction form
    19,744/31,400 = 31,400/x
  3. Step 3: Cross multiply
    19,744x = 31,400 × 31,400
  4. Step 4: Simplify right side
    19,744x = 985,960,000
  5. Step 5: Solve for x
    x = 985,960,000/19,744
  6. Step 6: Final answer
    x = 49,937.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.