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Finding the Third Proportional to 5,585.91 and 11,631.09

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Solution

The third proportional to 5,585.91 and 11,631.09 is: 24,218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.91 : 11,631.09 = 11,631.09 : x
  2. Step 2: Convert to fraction form
    5,585.91/11,631.09 = 11,631.09/x
  3. Step 3: Cross multiply
    5,585.91x = 11,631.09 × 11,631.09
  4. Step 4: Simplify right side
    5,585.91x = 135,282,341.82
  5. Step 5: Solve for x
    x = 135,282,341.82/5,585.91
  6. Step 6: Final answer
    x = 24,218.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.