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Finding the Third Proportional to 11,259.56 and 17,657.44

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Solution

The third proportional to 11,259.56 and 17,657.44 is: 27,690.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,259.56 : 17,657.44 = 17,657.44 : x
  2. Step 2: Convert to fraction form
    11,259.56/17,657.44 = 17,657.44/x
  3. Step 3: Cross multiply
    11,259.56x = 17,657.44 × 17,657.44
  4. Step 4: Simplify right side
    11,259.56x = 311,785,099.07
  5. Step 5: Solve for x
    x = 311,785,099.07/11,259.56
  6. Step 6: Final answer
    x = 27,690.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.