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Finding the Third Proportional to 31,947.94 and 48,369.66

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Solution

The third proportional to 31,947.94 and 48,369.66 is: 73,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,947.94 : 48,369.66 = 48,369.66 : x
  2. Step 2: Convert to fraction form
    31,947.94/48,369.66 = 48,369.66/x
  3. Step 3: Cross multiply
    31,947.94x = 48,369.66 × 48,369.66
  4. Step 4: Simplify right side
    31,947.94x = 2,339,623,645.74
  5. Step 5: Solve for x
    x = 2,339,623,645.74/31,947.94
  6. Step 6: Final answer
    x = 73,232.38

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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.