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Finding the Third Proportional to 31,392.56 and 65,883.38

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Solution

The third proportional to 31,392.56 and 65,883.38 is: 138,269.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,392.56 : 65,883.38 = 65,883.38 : x
  2. Step 2: Convert to fraction form
    31,392.56/65,883.38 = 65,883.38/x
  3. Step 3: Cross multiply
    31,392.56x = 65,883.38 × 65,883.38
  4. Step 4: Simplify right side
    31,392.56x = 4,340,619,101.39
  5. Step 5: Solve for x
    x = 4,340,619,101.39/31,392.56
  6. Step 6: Final answer
    x = 138,269.03

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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.