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Finding the Third Proportional to 12,382.88 and 24,355.69

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Solution

The third proportional to 12,382.88 and 24,355.69 is: 47,904.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.88 : 24,355.69 = 24,355.69 : x
  2. Step 2: Convert to fraction form
    12,382.88/24,355.69 = 24,355.69/x
  3. Step 3: Cross multiply
    12,382.88x = 24,355.69 × 24,355.69
  4. Step 4: Simplify right side
    12,382.88x = 593,199,513.60
  5. Step 5: Solve for x
    x = 593,199,513.60/12,382.88
  6. Step 6: Final answer
    x = 47,904.83

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.