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Finding the Third Proportional to 36,410 and 79,408

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Solution

The third proportional to 36,410 and 79,408 is: 173,184.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,410 : 79,408 = 79,408 : x
  2. Step 2: Convert to fraction form
    36,410/79,408 = 79,408/x
  3. Step 3: Cross multiply
    36,410x = 79,408 × 79,408
  4. Step 4: Simplify right side
    36,410x = 6,305,630,464
  5. Step 5: Solve for x
    x = 6,305,630,464/36,410
  6. Step 6: Final answer
    x = 173,184.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.