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Finding the Third Proportional to 16,408 and 36,098

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Solution

The third proportional to 16,408 and 36,098 is: 79,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408 : 36,098 = 36,098 : x
  2. Step 2: Convert to fraction form
    16,408/36,098 = 36,098/x
  3. Step 3: Cross multiply
    16,408x = 36,098 × 36,098
  4. Step 4: Simplify right side
    16,408x = 1,303,065,604
  5. Step 5: Solve for x
    x = 1,303,065,604/16,408
  6. Step 6: Final answer
    x = 79,416.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.