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Finding the Third Proportional to 24,408 and 38,799

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Solution

The third proportional to 24,408 and 38,799 is: 61,674.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,408 : 38,799 = 38,799 : x
  2. Step 2: Convert to fraction form
    24,408/38,799 = 38,799/x
  3. Step 3: Cross multiply
    24,408x = 38,799 × 38,799
  4. Step 4: Simplify right side
    24,408x = 1,505,362,401
  5. Step 5: Solve for x
    x = 1,505,362,401/24,408
  6. Step 6: Final answer
    x = 61,674.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.