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Finding the Third Proportional to 3,646.69 and 5,473.69

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Solution

The third proportional to 3,646.69 and 5,473.69 is: 8,216.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.69 : 5,473.69 = 5,473.69 : x
  2. Step 2: Convert to fraction form
    3,646.69/5,473.69 = 5,473.69/x
  3. Step 3: Cross multiply
    3,646.69x = 5,473.69 × 5,473.69
  4. Step 4: Simplify right side
    3,646.69x = 29,961,254.85
  5. Step 5: Solve for x
    x = 29,961,254.85/3,646.69
  6. Step 6: Final answer
    x = 8,216.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.