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Finding the Third Proportional to 2,484.84 and 5,745.09

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Solution

The third proportional to 2,484.84 and 5,745.09 is: 13,282.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.84 : 5,745.09 = 5,745.09 : x
  2. Step 2: Convert to fraction form
    2,484.84/5,745.09 = 5,745.09/x
  3. Step 3: Cross multiply
    2,484.84x = 5,745.09 × 5,745.09
  4. Step 4: Simplify right side
    2,484.84x = 33,006,102.20
  5. Step 5: Solve for x
    x = 33,006,102.20/2,484.84
  6. Step 6: Final answer
    x = 13,282.97

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.