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Finding the Third Proportional to 2,164.69 and 3,444.56

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Solution

The third proportional to 2,164.69 and 3,444.56 is: 5,481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.69 : 3,444.56 = 3,444.56 : x
  2. Step 2: Convert to fraction form
    2,164.69/3,444.56 = 3,444.56/x
  3. Step 3: Cross multiply
    2,164.69x = 3,444.56 × 3,444.56
  4. Step 4: Simplify right side
    2,164.69x = 11,865,010.82
  5. Step 5: Solve for x
    x = 11,865,010.82/2,164.69
  6. Step 6: Final answer
    x = 5,481.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.