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Finding the Third Proportional to 4,159.69 and 5,443.03

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Solution

The third proportional to 4,159.69 and 5,443.03 is: 7,122.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.69 : 5,443.03 = 5,443.03 : x
  2. Step 2: Convert to fraction form
    4,159.69/5,443.03 = 5,443.03/x
  3. Step 3: Cross multiply
    4,159.69x = 5,443.03 × 5,443.03
  4. Step 4: Simplify right side
    4,159.69x = 29,626,589.19
  5. Step 5: Solve for x
    x = 29,626,589.19/4,159.69
  6. Step 6: Final answer
    x = 7,122.31

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.