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Finding the Third Proportional to 1,109.11 and 2,405.67

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Solution

The third proportional to 1,109.11 and 2,405.67 is: 5,217.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.11 : 2,405.67 = 2,405.67 : x
  2. Step 2: Convert to fraction form
    1,109.11/2,405.67 = 2,405.67/x
  3. Step 3: Cross multiply
    1,109.11x = 2,405.67 × 2,405.67
  4. Step 4: Simplify right side
    1,109.11x = 5,787,257.17
  5. Step 5: Solve for x
    x = 5,787,257.17/1,109.11
  6. Step 6: Final answer
    x = 5,217.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.