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Finding the Third Proportional to 31,544.44 and 48,301.31

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Solution

The third proportional to 31,544.44 and 48,301.31 is: 73,959.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,544.44 : 48,301.31 = 48,301.31 : x
  2. Step 2: Convert to fraction form
    31,544.44/48,301.31 = 48,301.31/x
  3. Step 3: Cross multiply
    31,544.44x = 48,301.31 × 48,301.31
  4. Step 4: Simplify right side
    31,544.44x = 2,333,016,789.22
  5. Step 5: Solve for x
    x = 2,333,016,789.22/31,544.44
  6. Step 6: Final answer
    x = 73,959.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.