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Finding the Third Proportional to 11,724.75 and 22,690.13

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Solution

The third proportional to 11,724.75 and 22,690.13 is: 43,910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,724.75 : 22,690.13 = 22,690.13 : x
  2. Step 2: Convert to fraction form
    11,724.75/22,690.13 = 22,690.13/x
  3. Step 3: Cross multiply
    11,724.75x = 22,690.13 × 22,690.13
  4. Step 4: Simplify right side
    11,724.75x = 514,841,772.52
  5. Step 5: Solve for x
    x = 514,841,772.52/11,724.75
  6. Step 6: Final answer
    x = 43,910.68

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These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.