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Finding the Third Proportional to 19,684 and 30,438

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Solution

The third proportional to 19,684 and 30,438 is: 47,067.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684 : 30,438 = 30,438 : x
  2. Step 2: Convert to fraction form
    19,684/30,438 = 30,438/x
  3. Step 3: Cross multiply
    19,684x = 30,438 × 30,438
  4. Step 4: Simplify right side
    19,684x = 926,471,844
  5. Step 5: Solve for x
    x = 926,471,844/19,684
  6. Step 6: Final answer
    x = 47,067.25

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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.