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Finding the Third Proportional to 31,421.25 and 65,940.75

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Solution

The third proportional to 31,421.25 and 65,940.75 is: 138,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,421.25 : 65,940.75 = 65,940.75 : x
  2. Step 2: Convert to fraction form
    31,421.25/65,940.75 = 65,940.75/x
  3. Step 3: Cross multiply
    31,421.25x = 65,940.75 × 65,940.75
  4. Step 4: Simplify right side
    31,421.25x = 4,348,182,510.56
  5. Step 5: Solve for x
    x = 4,348,182,510.56/31,421.25
  6. Step 6: Final answer
    x = 138,383.50

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.