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Finding the Third Proportional to 31,534.31 and 48,212.72

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Solution

The third proportional to 31,534.31 and 48,212.72 is: 73,712.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,534.31 : 48,212.72 = 48,212.72 : x
  2. Step 2: Convert to fraction form
    31,534.31/48,212.72 = 48,212.72/x
  3. Step 3: Cross multiply
    31,534.31x = 48,212.72 × 48,212.72
  4. Step 4: Simplify right side
    31,534.31x = 2,324,466,249.27
  5. Step 5: Solve for x
    x = 2,324,466,249.27/31,534.31
  6. Step 6: Final answer
    x = 73,712.29

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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.