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Finding the Third Proportional to 27,118.13 and 41,735.25

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Solution

The third proportional to 27,118.13 and 41,735.25 is: 64,231.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,118.13 : 41,735.25 = 41,735.25 : x
  2. Step 2: Convert to fraction form
    27,118.13/41,735.25 = 41,735.25/x
  3. Step 3: Cross multiply
    27,118.13x = 41,735.25 × 41,735.25
  4. Step 4: Simplify right side
    27,118.13x = 1,741,831,092.56
  5. Step 5: Solve for x
    x = 1,741,831,092.56/27,118.13
  6. Step 6: Final answer
    x = 64,231.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.