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Finding the Third Proportional to 8,739.75 and 13,845.75

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Solution

The third proportional to 8,739.75 and 13,845.75 is: 21,934.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,739.75 : 13,845.75 = 13,845.75 : x
  2. Step 2: Convert to fraction form
    8,739.75/13,845.75 = 13,845.75/x
  3. Step 3: Cross multiply
    8,739.75x = 13,845.75 × 13,845.75
  4. Step 4: Simplify right side
    8,739.75x = 191,704,793.06
  5. Step 5: Solve for x
    x = 191,704,793.06/8,739.75
  6. Step 6: Final answer
    x = 21,934.81

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.