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Finding the Third Proportional to 31,171.25 and 66,808.75

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Solution

The third proportional to 31,171.25 and 66,808.75 is: 143,189.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,171.25 : 66,808.75 = 66,808.75 : x
  2. Step 2: Convert to fraction form
    31,171.25/66,808.75 = 66,808.75/x
  3. Step 3: Cross multiply
    31,171.25x = 66,808.75 × 66,808.75
  4. Step 4: Simplify right side
    31,171.25x = 4,463,409,076.56
  5. Step 5: Solve for x
    x = 4,463,409,076.56/31,171.25
  6. Step 6: Final answer
    x = 143,189.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.