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Finding the Third Proportional to 2,010.45 and 4,174.66

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Solution

The third proportional to 2,010.45 and 4,174.66 is: 8,668.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.45 : 4,174.66 = 4,174.66 : x
  2. Step 2: Convert to fraction form
    2,010.45/4,174.66 = 4,174.66/x
  3. Step 3: Cross multiply
    2,010.45x = 4,174.66 × 4,174.66
  4. Step 4: Simplify right side
    2,010.45x = 17,427,820.03
  5. Step 5: Solve for x
    x = 17,427,820.03/2,010.45
  6. Step 6: Final answer
    x = 8,668.64

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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.