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Finding the Third Proportional to 31,920.75 and 48,324.94

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Solution

The third proportional to 31,920.75 and 48,324.94 is: 73,159.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,920.75 : 48,324.94 = 48,324.94 : x
  2. Step 2: Convert to fraction form
    31,920.75/48,324.94 = 48,324.94/x
  3. Step 3: Cross multiply
    31,920.75x = 48,324.94 × 48,324.94
  4. Step 4: Simplify right side
    31,920.75x = 2,335,299,584.38
  5. Step 5: Solve for x
    x = 2,335,299,584.38/31,920.75
  6. Step 6: Final answer
    x = 73,159.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.