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Finding the Third Proportional to 11,591.44 and 22,259.39

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Solution

The third proportional to 11,591.44 and 22,259.39 is: 42,745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.44 : 22,259.39 = 22,259.39 : x
  2. Step 2: Convert to fraction form
    11,591.44/22,259.39 = 22,259.39/x
  3. Step 3: Cross multiply
    11,591.44x = 22,259.39 × 22,259.39
  4. Step 4: Simplify right side
    11,591.44x = 495,480,471.00
  5. Step 5: Solve for x
    x = 495,480,471.00/11,591.44
  6. Step 6: Final answer
    x = 42,745.39

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.