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Finding the Third Proportional to 41,977 and 63,369

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Solution

The third proportional to 41,977 and 63,369 is: 95,662.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,977 : 63,369 = 63,369 : x
  2. Step 2: Convert to fraction form
    41,977/63,369 = 63,369/x
  3. Step 3: Cross multiply
    41,977x = 63,369 × 63,369
  4. Step 4: Simplify right side
    41,977x = 4,015,630,161
  5. Step 5: Solve for x
    x = 4,015,630,161/41,977
  6. Step 6: Final answer
    x = 95,662.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.