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Finding the Third Proportional to 5,759.06 and 12,098.44

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Solution

The third proportional to 5,759.06 and 12,098.44 is: 25,415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.06 : 12,098.44 = 12,098.44 : x
  2. Step 2: Convert to fraction form
    5,759.06/12,098.44 = 12,098.44/x
  3. Step 3: Cross multiply
    5,759.06x = 12,098.44 × 12,098.44
  4. Step 4: Simplify right side
    5,759.06x = 146,372,189.94
  5. Step 5: Solve for x
    x = 146,372,189.94/5,759.06
  6. Step 6: Final answer
    x = 25,415.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.