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Finding the Third Proportional to 5,039.25 and 10,943.63

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Solution

The third proportional to 5,039.25 and 10,943.63 is: 23,766.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,039.25 : 10,943.63 = 10,943.63 : x
  2. Step 2: Convert to fraction form
    5,039.25/10,943.63 = 10,943.63/x
  3. Step 3: Cross multiply
    5,039.25x = 10,943.63 × 10,943.63
  4. Step 4: Simplify right side
    5,039.25x = 119,762,928.14
  5. Step 5: Solve for x
    x = 119,762,928.14/5,039.25
  6. Step 6: Final answer
    x = 23,766.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.