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Finding the Third Proportional to 2,201.63 and 3,302.88

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Solution

The third proportional to 2,201.63 and 3,302.88 is: 4,954.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.63 : 3,302.88 = 3,302.88 : x
  2. Step 2: Convert to fraction form
    2,201.63/3,302.88 = 3,302.88/x
  3. Step 3: Cross multiply
    2,201.63x = 3,302.88 × 3,302.88
  4. Step 4: Simplify right side
    2,201.63x = 10,908,983.27
  5. Step 5: Solve for x
    x = 10,908,983.27/2,201.63
  6. Step 6: Final answer
    x = 4,954.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.