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Finding the Third Proportional to 5,607.94 and 10,119.56

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Solution

The third proportional to 5,607.94 and 10,119.56 is: 18,260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.94 : 10,119.56 = 10,119.56 : x
  2. Step 2: Convert to fraction form
    5,607.94/10,119.56 = 10,119.56/x
  3. Step 3: Cross multiply
    5,607.94x = 10,119.56 × 10,119.56
  4. Step 4: Simplify right side
    5,607.94x = 102,405,545.19
  5. Step 5: Solve for x
    x = 102,405,545.19/5,607.94
  6. Step 6: Final answer
    x = 18,260.82

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.