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Finding the Third Proportional to 2,002.75 and 4,301.63

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Solution

The third proportional to 2,002.75 and 4,301.63 is: 9,239.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.75 : 4,301.63 = 4,301.63 : x
  2. Step 2: Convert to fraction form
    2,002.75/4,301.63 = 4,301.63/x
  3. Step 3: Cross multiply
    2,002.75x = 4,301.63 × 4,301.63
  4. Step 4: Simplify right side
    2,002.75x = 18,503,977.64
  5. Step 5: Solve for x
    x = 18,503,977.64/2,002.75
  6. Step 6: Final answer
    x = 9,239.28

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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.