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Finding the Third Proportional to 5,659.88 and 12,094.31

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Solution

The third proportional to 5,659.88 and 12,094.31 is: 25,843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.88 : 12,094.31 = 12,094.31 : x
  2. Step 2: Convert to fraction form
    5,659.88/12,094.31 = 12,094.31/x
  3. Step 3: Cross multiply
    5,659.88x = 12,094.31 × 12,094.31
  4. Step 4: Simplify right side
    5,659.88x = 146,272,394.85
  5. Step 5: Solve for x
    x = 146,272,394.85/5,659.88
  6. Step 6: Final answer
    x = 25,843.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.