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Finding the Third Proportional to 31,347 and 48,593.25

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Solution

The third proportional to 31,347 and 48,593.25 is: 75,327.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,347 : 48,593.25 = 48,593.25 : x
  2. Step 2: Convert to fraction form
    31,347/48,593.25 = 48,593.25/x
  3. Step 3: Cross multiply
    31,347x = 48,593.25 × 48,593.25
  4. Step 4: Simplify right side
    31,347x = 2,361,303,945.56
  5. Step 5: Solve for x
    x = 2,361,303,945.56/31,347
  6. Step 6: Final answer
    x = 75,327.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.