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Finding the Third Proportional to 3,721.22 and 5,051.81

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Solution

The third proportional to 3,721.22 and 5,051.81 is: 6,858.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,721.22 : 5,051.81 = 5,051.81 : x
  2. Step 2: Convert to fraction form
    3,721.22/5,051.81 = 5,051.81/x
  3. Step 3: Cross multiply
    3,721.22x = 5,051.81 × 5,051.81
  4. Step 4: Simplify right side
    3,721.22x = 25,520,809.54
  5. Step 5: Solve for x
    x = 25,520,809.54/3,721.22
  6. Step 6: Final answer
    x = 6,858.19

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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.