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Finding the Third Proportional to 31,232.25 and 49,673.25

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Solution

The third proportional to 31,232.25 and 49,673.25 is: 79,002.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,232.25 : 49,673.25 = 49,673.25 : x
  2. Step 2: Convert to fraction form
    31,232.25/49,673.25 = 49,673.25/x
  3. Step 3: Cross multiply
    31,232.25x = 49,673.25 × 49,673.25
  4. Step 4: Simplify right side
    31,232.25x = 2,467,431,765.56
  5. Step 5: Solve for x
    x = 2,467,431,765.56/31,232.25
  6. Step 6: Final answer
    x = 79,002.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.