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Finding the Third Proportional to 2,359.13 and 5,229.56

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Solution

The third proportional to 2,359.13 and 5,229.56 is: 11,592.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.13 : 5,229.56 = 5,229.56 : x
  2. Step 2: Convert to fraction form
    2,359.13/5,229.56 = 5,229.56/x
  3. Step 3: Cross multiply
    2,359.13x = 5,229.56 × 5,229.56
  4. Step 4: Simplify right side
    2,359.13x = 27,348,323.94
  5. Step 5: Solve for x
    x = 27,348,323.94/2,359.13
  6. Step 6: Final answer
    x = 11,592.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.