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Finding the Third Proportional to 41,942.81 and 63,525.09

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Solution

The third proportional to 41,942.81 and 63,525.09 is: 96,212.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,942.81 : 63,525.09 = 63,525.09 : x
  2. Step 2: Convert to fraction form
    41,942.81/63,525.09 = 63,525.09/x
  3. Step 3: Cross multiply
    41,942.81x = 63,525.09 × 63,525.09
  4. Step 4: Simplify right side
    41,942.81x = 4,035,437,535.95
  5. Step 5: Solve for x
    x = 4,035,437,535.95/41,942.81
  6. Step 6: Final answer
    x = 96,212.85

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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.