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Finding the Third Proportional to 41,658.75 and 63,204.75

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Solution

The third proportional to 41,658.75 and 63,204.75 is: 95,894.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,658.75 : 63,204.75 = 63,204.75 : x
  2. Step 2: Convert to fraction form
    41,658.75/63,204.75 = 63,204.75/x
  3. Step 3: Cross multiply
    41,658.75x = 63,204.75 × 63,204.75
  4. Step 4: Simplify right side
    41,658.75x = 3,994,840,422.56
  5. Step 5: Solve for x
    x = 3,994,840,422.56/41,658.75
  6. Step 6: Final answer
    x = 95,894.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.