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Finding the Third Proportional to 3,829.78 and 5,856.05

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Solution

The third proportional to 3,829.78 and 5,856.05 is: 8,954.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.78 : 5,856.05 = 5,856.05 : x
  2. Step 2: Convert to fraction form
    3,829.78/5,856.05 = 5,856.05/x
  3. Step 3: Cross multiply
    3,829.78x = 5,856.05 × 5,856.05
  4. Step 4: Simplify right side
    3,829.78x = 34,293,285.00
  5. Step 5: Solve for x
    x = 34,293,285.00/3,829.78
  6. Step 6: Final answer
    x = 8,954.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.