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Finding the Third Proportional to 3,840.75 and 8,695.69

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Solution

The third proportional to 3,840.75 and 8,695.69 is: 19,687.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.75 : 8,695.69 = 8,695.69 : x
  2. Step 2: Convert to fraction form
    3,840.75/8,695.69 = 8,695.69/x
  3. Step 3: Cross multiply
    3,840.75x = 8,695.69 × 8,695.69
  4. Step 4: Simplify right side
    3,840.75x = 75,614,981.10
  5. Step 5: Solve for x
    x = 75,614,981.10/3,840.75
  6. Step 6: Final answer
    x = 19,687.56

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.