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Finding the Third Proportional to 3,221.81 and 7,066.31

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Solution

The third proportional to 3,221.81 and 7,066.31 is: 15,498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.81 : 7,066.31 = 7,066.31 : x
  2. Step 2: Convert to fraction form
    3,221.81/7,066.31 = 7,066.31/x
  3. Step 3: Cross multiply
    3,221.81x = 7,066.31 × 7,066.31
  4. Step 4: Simplify right side
    3,221.81x = 49,932,772.35
  5. Step 5: Solve for x
    x = 49,932,772.35/3,221.81
  6. Step 6: Final answer
    x = 15,498.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.