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Finding the Third Proportional to 19,093 and 24,811

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Solution

The third proportional to 19,093 and 24,811 is: 32,241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,093 : 24,811 = 24,811 : x
  2. Step 2: Convert to fraction form
    19,093/24,811 = 24,811/x
  3. Step 3: Cross multiply
    19,093x = 24,811 × 24,811
  4. Step 4: Simplify right side
    19,093x = 615,585,721
  5. Step 5: Solve for x
    x = 615,585,721/19,093
  6. Step 6: Final answer
    x = 32,241.44

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.