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Finding the Third Proportional to 2,093.91 and 4,606.03

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Solution

The third proportional to 2,093.91 and 4,606.03 is: 10,132.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.91 : 4,606.03 = 4,606.03 : x
  2. Step 2: Convert to fraction form
    2,093.91/4,606.03 = 4,606.03/x
  3. Step 3: Cross multiply
    2,093.91x = 4,606.03 × 4,606.03
  4. Step 4: Simplify right side
    2,093.91x = 21,215,523.88
  5. Step 5: Solve for x
    x = 21,215,523.88/2,093.91
  6. Step 6: Final answer
    x = 10,132.03

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.