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Finding the Third Proportional to 3,566.69 and 7,359.77

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Solution

The third proportional to 3,566.69 and 7,359.77 is: 15,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.69 : 7,359.77 = 7,359.77 : x
  2. Step 2: Convert to fraction form
    3,566.69/7,359.77 = 7,359.77/x
  3. Step 3: Cross multiply
    3,566.69x = 7,359.77 × 7,359.77
  4. Step 4: Simplify right side
    3,566.69x = 54,166,178.80
  5. Step 5: Solve for x
    x = 54,166,178.80/3,566.69
  6. Step 6: Final answer
    x = 15,186.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.