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Finding the Third Proportional to 2,703.38 and 3,964.50

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Solution

The third proportional to 2,703.38 and 3,964.50 is: 5,813.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.38 : 3,964.50 = 3,964.50 : x
  2. Step 2: Convert to fraction form
    2,703.38/3,964.50 = 3,964.50/x
  3. Step 3: Cross multiply
    2,703.38x = 3,964.50 × 3,964.50
  4. Step 4: Simplify right side
    2,703.38x = 15,717,260.25
  5. Step 5: Solve for x
    x = 15,717,260.25/2,703.38
  6. Step 6: Final answer
    x = 5,813.94

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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.