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Finding the Third Proportional to 51,964.03 and 65,917.55

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Solution

The third proportional to 51,964.03 and 65,917.55 is: 83,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,964.03 : 65,917.55 = 65,917.55 : x
  2. Step 2: Convert to fraction form
    51,964.03/65,917.55 = 65,917.55/x
  3. Step 3: Cross multiply
    51,964.03x = 65,917.55 × 65,917.55
  4. Step 4: Simplify right side
    51,964.03x = 4,345,122,986.02
  5. Step 5: Solve for x
    x = 4,345,122,986.02/51,964.03
  6. Step 6: Final answer
    x = 83,617.90

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.