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Finding the Third Proportional to 2,166.75 and 3,353.63

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Solution

The third proportional to 2,166.75 and 3,353.63 is: 5,190.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.75 : 3,353.63 = 3,353.63 : x
  2. Step 2: Convert to fraction form
    2,166.75/3,353.63 = 3,353.63/x
  3. Step 3: Cross multiply
    2,166.75x = 3,353.63 × 3,353.63
  4. Step 4: Simplify right side
    2,166.75x = 11,246,800.64
  5. Step 5: Solve for x
    x = 11,246,800.64/2,166.75
  6. Step 6: Final answer
    x = 5,190.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.