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Finding the Third Proportional to 25,845.75 and 40,996.13

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Solution

The third proportional to 25,845.75 and 40,996.13 is: 65,027.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,845.75 : 40,996.13 = 40,996.13 : x
  2. Step 2: Convert to fraction form
    25,845.75/40,996.13 = 40,996.13/x
  3. Step 3: Cross multiply
    25,845.75x = 40,996.13 × 40,996.13
  4. Step 4: Simplify right side
    25,845.75x = 1,680,682,265.02
  5. Step 5: Solve for x
    x = 1,680,682,265.02/25,845.75
  6. Step 6: Final answer
    x = 65,027.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.