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Finding the Third Proportional to 31,244.48 and 44,648.09

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Solution

The third proportional to 31,244.48 and 44,648.09 is: 63,801.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,244.48 : 44,648.09 = 44,648.09 : x
  2. Step 2: Convert to fraction form
    31,244.48/44,648.09 = 44,648.09/x
  3. Step 3: Cross multiply
    31,244.48x = 44,648.09 × 44,648.09
  4. Step 4: Simplify right side
    31,244.48x = 1,993,451,577.88
  5. Step 5: Solve for x
    x = 1,993,451,577.88/31,244.48
  6. Step 6: Final answer
    x = 63,801.71

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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.