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Finding the Third Proportional to 2,912.63 and 5,227.88

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Solution

The third proportional to 2,912.63 and 5,227.88 is: 9,383.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.63 : 5,227.88 = 5,227.88 : x
  2. Step 2: Convert to fraction form
    2,912.63/5,227.88 = 5,227.88/x
  3. Step 3: Cross multiply
    2,912.63x = 5,227.88 × 5,227.88
  4. Step 4: Simplify right side
    2,912.63x = 27,330,677.02
  5. Step 5: Solve for x
    x = 27,330,677.02/2,912.63
  6. Step 6: Final answer
    x = 9,383.52

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.