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Finding the Third Proportional to 2,001.66 and 3,110.63

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Solution

The third proportional to 2,001.66 and 3,110.63 is: 4,833.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.66 : 3,110.63 = 3,110.63 : x
  2. Step 2: Convert to fraction form
    2,001.66/3,110.63 = 3,110.63/x
  3. Step 3: Cross multiply
    2,001.66x = 3,110.63 × 3,110.63
  4. Step 4: Simplify right side
    2,001.66x = 9,675,987.89
  5. Step 5: Solve for x
    x = 9,675,987.89/2,001.66
  6. Step 6: Final answer
    x = 4,833.99

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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.