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Finding the Third Proportional to 31,324.22 and 48,558.23

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Solution

The third proportional to 31,324.22 and 48,558.23 is: 75,274.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,324.22 : 48,558.23 = 48,558.23 : x
  2. Step 2: Convert to fraction form
    31,324.22/48,558.23 = 48,558.23/x
  3. Step 3: Cross multiply
    31,324.22x = 48,558.23 × 48,558.23
  4. Step 4: Simplify right side
    31,324.22x = 2,357,902,125.62
  5. Step 5: Solve for x
    x = 2,357,902,125.62/31,324.22
  6. Step 6: Final answer
    x = 75,274.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.