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Finding the Third Proportional to 8,241.75 and 12,782.81

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Solution

The third proportional to 8,241.75 and 12,782.81 is: 19,825.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.75 : 12,782.81 = 12,782.81 : x
  2. Step 2: Convert to fraction form
    8,241.75/12,782.81 = 12,782.81/x
  3. Step 3: Cross multiply
    8,241.75x = 12,782.81 × 12,782.81
  4. Step 4: Simplify right side
    8,241.75x = 163,400,295.41
  5. Step 5: Solve for x
    x = 163,400,295.41/8,241.75
  6. Step 6: Final answer
    x = 19,825.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.