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Finding the Third Proportional to 2,011.08 and 3,612.09

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Solution

The third proportional to 2,011.08 and 3,612.09 is: 6,487.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.08 : 3,612.09 = 3,612.09 : x
  2. Step 2: Convert to fraction form
    2,011.08/3,612.09 = 3,612.09/x
  3. Step 3: Cross multiply
    2,011.08x = 3,612.09 × 3,612.09
  4. Step 4: Simplify right side
    2,011.08x = 13,047,221.26
  5. Step 5: Solve for x
    x = 13,047,221.26/2,011.08
  6. Step 6: Final answer
    x = 6,487.67

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.