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Finding the Third Proportional to 2,231.63 and 3,340.88

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Solution

The third proportional to 2,231.63 and 3,340.88 is: 5,001.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.63 : 3,340.88 = 3,340.88 : x
  2. Step 2: Convert to fraction form
    2,231.63/3,340.88 = 3,340.88/x
  3. Step 3: Cross multiply
    2,231.63x = 3,340.88 × 3,340.88
  4. Step 4: Simplify right side
    2,231.63x = 11,161,445.77
  5. Step 5: Solve for x
    x = 11,161,445.77/2,231.63
  6. Step 6: Final answer
    x = 5,001.49

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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.