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Finding the Third Proportional to 31,502.25 and 65,670.75

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Solution

The third proportional to 31,502.25 and 65,670.75 is: 136,899.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,502.25 : 65,670.75 = 65,670.75 : x
  2. Step 2: Convert to fraction form
    31,502.25/65,670.75 = 65,670.75/x
  3. Step 3: Cross multiply
    31,502.25x = 65,670.75 × 65,670.75
  4. Step 4: Simplify right side
    31,502.25x = 4,312,647,405.56
  5. Step 5: Solve for x
    x = 4,312,647,405.56/31,502.25
  6. Step 6: Final answer
    x = 136,899.66

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.