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Finding the Third Proportional to 31,923.75 and 48,329.25

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Solution

The third proportional to 31,923.75 and 48,329.25 is: 73,165.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,923.75 : 48,329.25 = 48,329.25 : x
  2. Step 2: Convert to fraction form
    31,923.75/48,329.25 = 48,329.25/x
  3. Step 3: Cross multiply
    31,923.75x = 48,329.25 × 48,329.25
  4. Step 4: Simplify right side
    31,923.75x = 2,335,716,405.56
  5. Step 5: Solve for x
    x = 2,335,716,405.56/31,923.75
  6. Step 6: Final answer
    x = 73,165.48

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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.