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Finding the Third Proportional to 2,259.56 and 5,043.94

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Solution

The third proportional to 2,259.56 and 5,043.94 is: 11,259.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.56 : 5,043.94 = 5,043.94 : x
  2. Step 2: Convert to fraction form
    2,259.56/5,043.94 = 5,043.94/x
  3. Step 3: Cross multiply
    2,259.56x = 5,043.94 × 5,043.94
  4. Step 4: Simplify right side
    2,259.56x = 25,441,305.50
  5. Step 5: Solve for x
    x = 25,441,305.50/2,259.56
  6. Step 6: Final answer
    x = 11,259.39

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.