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Finding the Third Proportional to 31,868.75 and 65,784.25

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Solution

The third proportional to 31,868.75 and 65,784.25 is: 135,793.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,868.75 : 65,784.25 = 65,784.25 : x
  2. Step 2: Convert to fraction form
    31,868.75/65,784.25 = 65,784.25/x
  3. Step 3: Cross multiply
    31,868.75x = 65,784.25 × 65,784.25
  4. Step 4: Simplify right side
    31,868.75x = 4,327,567,548.06
  5. Step 5: Solve for x
    x = 4,327,567,548.06/31,868.75
  6. Step 6: Final answer
    x = 135,793.45

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.