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Finding the Third Proportional to 31,500.14 and 65,917.55

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Solution

The third proportional to 31,500.14 and 65,917.55 is: 137,939.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,500.14 : 65,917.55 = 65,917.55 : x
  2. Step 2: Convert to fraction form
    31,500.14/65,917.55 = 65,917.55/x
  3. Step 3: Cross multiply
    31,500.14x = 65,917.55 × 65,917.55
  4. Step 4: Simplify right side
    31,500.14x = 4,345,122,986.02
  5. Step 5: Solve for x
    x = 4,345,122,986.02/31,500.14
  6. Step 6: Final answer
    x = 137,939.80

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.