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Finding the Third Proportional to 8,426.25 and 12,894.75

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Solution

The third proportional to 8,426.25 and 12,894.75 is: 19,732.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426.25 : 12,894.75 = 12,894.75 : x
  2. Step 2: Convert to fraction form
    8,426.25/12,894.75 = 12,894.75/x
  3. Step 3: Cross multiply
    8,426.25x = 12,894.75 × 12,894.75
  4. Step 4: Simplify right side
    8,426.25x = 166,274,577.56
  5. Step 5: Solve for x
    x = 166,274,577.56/8,426.25
  6. Step 6: Final answer
    x = 19,732.93

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.