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Finding the Third Proportional to 24,243 and 51,421

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Solution

The third proportional to 24,243 and 51,421 is: 109,067.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,243 : 51,421 = 51,421 : x
  2. Step 2: Convert to fraction form
    24,243/51,421 = 51,421/x
  3. Step 3: Cross multiply
    24,243x = 51,421 × 51,421
  4. Step 4: Simplify right side
    24,243x = 2,644,119,241
  5. Step 5: Solve for x
    x = 2,644,119,241/24,243
  6. Step 6: Final answer
    x = 109,067.33

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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.