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Finding the Third Proportional to 8,362.25 and 12,910.88

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Solution

The third proportional to 8,362.25 and 12,910.88 is: 19,933.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.25 : 12,910.88 = 12,910.88 : x
  2. Step 2: Convert to fraction form
    8,362.25/12,910.88 = 12,910.88/x
  3. Step 3: Cross multiply
    8,362.25x = 12,910.88 × 12,910.88
  4. Step 4: Simplify right side
    8,362.25x = 166,690,693.27
  5. Step 5: Solve for x
    x = 166,690,693.27/8,362.25
  6. Step 6: Final answer
    x = 19,933.71

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.