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Finding the Third Proportional to 31,957 and 50,133.75

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Solution

The third proportional to 31,957 and 50,133.75 is: 78,649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,957 : 50,133.75 = 50,133.75 : x
  2. Step 2: Convert to fraction form
    31,957/50,133.75 = 50,133.75/x
  3. Step 3: Cross multiply
    31,957x = 50,133.75 × 50,133.75
  4. Step 4: Simplify right side
    31,957x = 2,513,392,889.06
  5. Step 5: Solve for x
    x = 2,513,392,889.06/31,957
  6. Step 6: Final answer
    x = 78,649.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.