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Finding the Third Proportional to 3,723.94 and 5,460.56

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Solution

The third proportional to 3,723.94 and 5,460.56 is: 8,007.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.94 : 5,460.56 = 5,460.56 : x
  2. Step 2: Convert to fraction form
    3,723.94/5,460.56 = 5,460.56/x
  3. Step 3: Cross multiply
    3,723.94x = 5,460.56 × 5,460.56
  4. Step 4: Simplify right side
    3,723.94x = 29,817,742.82
  5. Step 5: Solve for x
    x = 29,817,742.82/3,723.94
  6. Step 6: Final answer
    x = 8,007.05

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.