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Finding the Third Proportional to 19,939 and 42,306

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Solution

The third proportional to 19,939 and 42,306 is: 89,763.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,939 : 42,306 = 42,306 : x
  2. Step 2: Convert to fraction form
    19,939/42,306 = 42,306/x
  3. Step 3: Cross multiply
    19,939x = 42,306 × 42,306
  4. Step 4: Simplify right side
    19,939x = 1,789,797,636
  5. Step 5: Solve for x
    x = 1,789,797,636/19,939
  6. Step 6: Final answer
    x = 89,763.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.