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Finding the Third Proportional to 3,856.36 and 5,225.77

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Solution

The third proportional to 3,856.36 and 5,225.77 is: 7,081.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.36 : 5,225.77 = 5,225.77 : x
  2. Step 2: Convert to fraction form
    3,856.36/5,225.77 = 5,225.77/x
  3. Step 3: Cross multiply
    3,856.36x = 5,225.77 × 5,225.77
  4. Step 4: Simplify right side
    3,856.36x = 27,308,626.37
  5. Step 5: Solve for x
    x = 27,308,626.37/3,856.36
  6. Step 6: Final answer
    x = 7,081.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.