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Finding the Third Proportional to 3,840.75 and 5,802.19

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Solution

The third proportional to 3,840.75 and 5,802.19 is: 8,765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.75 : 5,802.19 = 5,802.19 : x
  2. Step 2: Convert to fraction form
    3,840.75/5,802.19 = 5,802.19/x
  3. Step 3: Cross multiply
    3,840.75x = 5,802.19 × 5,802.19
  4. Step 4: Simplify right side
    3,840.75x = 33,665,379.79
  5. Step 5: Solve for x
    x = 33,665,379.79/3,840.75
  6. Step 6: Final answer
    x = 8,765.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.