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Finding the Third Proportional to 2,133.56 and 4,354.03

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Solution

The third proportional to 2,133.56 and 4,354.03 is: 8,885.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.56 : 4,354.03 = 4,354.03 : x
  2. Step 2: Convert to fraction form
    2,133.56/4,354.03 = 4,354.03/x
  3. Step 3: Cross multiply
    2,133.56x = 4,354.03 × 4,354.03
  4. Step 4: Simplify right side
    2,133.56x = 18,957,588.13
  5. Step 5: Solve for x
    x = 18,957,588.13/2,133.56
  6. Step 6: Final answer
    x = 8,885.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.