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Finding the Third Proportional to 40,977 and 63,285

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Solution

The third proportional to 40,977 and 63,285 is: 97,737.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,977 : 63,285 = 63,285 : x
  2. Step 2: Convert to fraction form
    40,977/63,285 = 63,285/x
  3. Step 3: Cross multiply
    40,977x = 63,285 × 63,285
  4. Step 4: Simplify right side
    40,977x = 4,004,991,225
  5. Step 5: Solve for x
    x = 4,004,991,225/40,977
  6. Step 6: Final answer
    x = 97,737.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.