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Finding the Third Proportional to 3,579.19 and 5,536.69

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Solution

The third proportional to 3,579.19 and 5,536.69 is: 8,564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,579.19 : 5,536.69 = 5,536.69 : x
  2. Step 2: Convert to fraction form
    3,579.19/5,536.69 = 5,536.69/x
  3. Step 3: Cross multiply
    3,579.19x = 5,536.69 × 5,536.69
  4. Step 4: Simplify right side
    3,579.19x = 30,654,908.47
  5. Step 5: Solve for x
    x = 30,654,908.47/3,579.19
  6. Step 6: Final answer
    x = 8,564.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.