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Finding the Third Proportional to 19,866 and 30,731

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Solution

The third proportional to 19,866 and 30,731 is: 47,538.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,866 : 30,731 = 30,731 : x
  2. Step 2: Convert to fraction form
    19,866/30,731 = 30,731/x
  3. Step 3: Cross multiply
    19,866x = 30,731 × 30,731
  4. Step 4: Simplify right side
    19,866x = 944,394,361
  5. Step 5: Solve for x
    x = 944,394,361/19,866
  6. Step 6: Final answer
    x = 47,538.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.