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Finding the Third Proportional to 24,646 and 38,233

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Solution

The third proportional to 24,646 and 38,233 is: 59,310.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,646 : 38,233 = 38,233 : x
  2. Step 2: Convert to fraction form
    24,646/38,233 = 38,233/x
  3. Step 3: Cross multiply
    24,646x = 38,233 × 38,233
  4. Step 4: Simplify right side
    24,646x = 1,461,762,289
  5. Step 5: Solve for x
    x = 1,461,762,289/24,646
  6. Step 6: Final answer
    x = 59,310.33

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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.