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Finding the Third Proportional to 1,659.66 and 3,908.67

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Solution

The third proportional to 1,659.66 and 3,908.67 is: 9,205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.66 : 3,908.67 = 3,908.67 : x
  2. Step 2: Convert to fraction form
    1,659.66/3,908.67 = 3,908.67/x
  3. Step 3: Cross multiply
    1,659.66x = 3,908.67 × 3,908.67
  4. Step 4: Simplify right side
    1,659.66x = 15,277,715.83
  5. Step 5: Solve for x
    x = 15,277,715.83/1,659.66
  6. Step 6: Final answer
    x = 9,205.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.