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Finding the Third Proportional to 25,661.81 and 41,127.75

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Solution

The third proportional to 25,661.81 and 41,127.75 is: 65,914.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,661.81 : 41,127.75 = 41,127.75 : x
  2. Step 2: Convert to fraction form
    25,661.81/41,127.75 = 41,127.75/x
  3. Step 3: Cross multiply
    25,661.81x = 41,127.75 × 41,127.75
  4. Step 4: Simplify right side
    25,661.81x = 1,691,491,820.06
  5. Step 5: Solve for x
    x = 1,691,491,820.06/25,661.81
  6. Step 6: Final answer
    x = 65,914.74

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.