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Finding the Third Proportional to 25,091.75 and 54,100.13

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Solution

The third proportional to 25,091.75 and 54,100.13 is: 116,644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,091.75 : 54,100.13 = 54,100.13 : x
  2. Step 2: Convert to fraction form
    25,091.75/54,100.13 = 54,100.13/x
  3. Step 3: Cross multiply
    25,091.75x = 54,100.13 × 54,100.13
  4. Step 4: Simplify right side
    25,091.75x = 2,926,823,525.02
  5. Step 5: Solve for x
    x = 2,926,823,525.02/25,091.75
  6. Step 6: Final answer
    x = 116,644.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.