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Finding the Third Proportional to 5,339.25 and 11,599.88

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Solution

The third proportional to 5,339.25 and 11,599.88 is: 25,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.25 : 11,599.88 = 11,599.88 : x
  2. Step 2: Convert to fraction form
    5,339.25/11,599.88 = 11,599.88/x
  3. Step 3: Cross multiply
    5,339.25x = 11,599.88 × 11,599.88
  4. Step 4: Simplify right side
    5,339.25x = 134,557,100.02
  5. Step 5: Solve for x
    x = 134,557,100.02/5,339.25
  6. Step 6: Final answer
    x = 25,201.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.