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Finding the Third Proportional to 4,156.31 and 9,914.91

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Solution

The third proportional to 4,156.31 and 9,914.91 is: 23,652.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.31 : 9,914.91 = 9,914.91 : x
  2. Step 2: Convert to fraction form
    4,156.31/9,914.91 = 9,914.91/x
  3. Step 3: Cross multiply
    4,156.31x = 9,914.91 × 9,914.91
  4. Step 4: Simplify right side
    4,156.31x = 98,305,365.95
  5. Step 5: Solve for x
    x = 98,305,365.95/4,156.31
  6. Step 6: Final answer
    x = 23,652.06

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.