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Finding the Third Proportional to 2,030.06 and 3,375.42

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Solution

The third proportional to 2,030.06 and 3,375.42 is: 5,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.06 : 3,375.42 = 3,375.42 : x
  2. Step 2: Convert to fraction form
    2,030.06/3,375.42 = 3,375.42/x
  3. Step 3: Cross multiply
    2,030.06x = 3,375.42 × 3,375.42
  4. Step 4: Simplify right side
    2,030.06x = 11,393,472.83
  5. Step 5: Solve for x
    x = 11,393,472.83/2,030.06
  6. Step 6: Final answer
    x = 5,612.38

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.