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Finding the Third Proportional to 31,235.63 and 44,517.02

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Solution

The third proportional to 31,235.63 and 44,517.02 is: 63,445.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,235.63 : 44,517.02 = 44,517.02 : x
  2. Step 2: Convert to fraction form
    31,235.63/44,517.02 = 44,517.02/x
  3. Step 3: Cross multiply
    31,235.63x = 44,517.02 × 44,517.02
  4. Step 4: Simplify right side
    31,235.63x = 1,981,765,375.73
  5. Step 5: Solve for x
    x = 1,981,765,375.73/31,235.63
  6. Step 6: Final answer
    x = 63,445.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.