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Finding the Third Proportional to 2,005.03 and 4,344.19

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Solution

The third proportional to 2,005.03 and 4,344.19 is: 9,412.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.03 : 4,344.19 = 4,344.19 : x
  2. Step 2: Convert to fraction form
    2,005.03/4,344.19 = 4,344.19/x
  3. Step 3: Cross multiply
    2,005.03x = 4,344.19 × 4,344.19
  4. Step 4: Simplify right side
    2,005.03x = 18,871,965.04
  5. Step 5: Solve for x
    x = 18,871,965.04/2,005.03
  6. Step 6: Final answer
    x = 9,412.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.