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Finding the Third Proportional to 2,658.94 and 5,743.13

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Solution

The third proportional to 2,658.94 and 5,743.13 is: 12,404.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.94 : 5,743.13 = 5,743.13 : x
  2. Step 2: Convert to fraction form
    2,658.94/5,743.13 = 5,743.13/x
  3. Step 3: Cross multiply
    2,658.94x = 5,743.13 × 5,743.13
  4. Step 4: Simplify right side
    2,658.94x = 32,983,484.77
  5. Step 5: Solve for x
    x = 32,983,484.77/2,658.94
  6. Step 6: Final answer
    x = 12,404.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.