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Finding the Third Proportional to 31,092.75 and 65,967.75

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Solution

The third proportional to 31,092.75 and 65,967.75 is: 139,960.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,092.75 : 65,967.75 = 65,967.75 : x
  2. Step 2: Convert to fraction form
    31,092.75/65,967.75 = 65,967.75/x
  3. Step 3: Cross multiply
    31,092.75x = 65,967.75 × 65,967.75
  4. Step 4: Simplify right side
    31,092.75x = 4,351,744,040.06
  5. Step 5: Solve for x
    x = 4,351,744,040.06/31,092.75
  6. Step 6: Final answer
    x = 139,960.09

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.