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Finding the Third Proportional to 1,538.06 and 3,383.81

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Solution

The third proportional to 1,538.06 and 3,383.81 is: 7,444.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.06 : 3,383.81 = 3,383.81 : x
  2. Step 2: Convert to fraction form
    1,538.06/3,383.81 = 3,383.81/x
  3. Step 3: Cross multiply
    1,538.06x = 3,383.81 × 3,383.81
  4. Step 4: Simplify right side
    1,538.06x = 11,450,187.04
  5. Step 5: Solve for x
    x = 11,450,187.04/1,538.06
  6. Step 6: Final answer
    x = 7,444.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.