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Finding the Third Proportional to 3,073.13 and 6,602.06

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Solution

The third proportional to 3,073.13 and 6,602.06 is: 14,183.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.13 : 6,602.06 = 6,602.06 : x
  2. Step 2: Convert to fraction form
    3,073.13/6,602.06 = 6,602.06/x
  3. Step 3: Cross multiply
    3,073.13x = 6,602.06 × 6,602.06
  4. Step 4: Simplify right side
    3,073.13x = 43,587,229.25
  5. Step 5: Solve for x
    x = 43,587,229.25/3,073.13
  6. Step 6: Final answer
    x = 14,183.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.