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Finding the Third Proportional to 31,229.72 and 41,002.03

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Solution

The third proportional to 31,229.72 and 41,002.03 is: 53,832.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,229.72 : 41,002.03 = 41,002.03 : x
  2. Step 2: Convert to fraction form
    31,229.72/41,002.03 = 41,002.03/x
  3. Step 3: Cross multiply
    31,229.72x = 41,002.03 × 41,002.03
  4. Step 4: Simplify right side
    31,229.72x = 1,681,166,566.63
  5. Step 5: Solve for x
    x = 1,681,166,566.63/31,229.72
  6. Step 6: Final answer
    x = 53,832.27

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.