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Finding the Third Proportional to 19,739 and 42,759

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Solution

The third proportional to 19,739 and 42,759 is: 92,625.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,739 : 42,759 = 42,759 : x
  2. Step 2: Convert to fraction form
    19,739/42,759 = 42,759/x
  3. Step 3: Cross multiply
    19,739x = 42,759 × 42,759
  4. Step 4: Simplify right side
    19,739x = 1,828,332,081
  5. Step 5: Solve for x
    x = 1,828,332,081/19,739
  6. Step 6: Final answer
    x = 92,625.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.