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Finding the Third Proportional to 39,603 and 82,014

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Solution

The third proportional to 39,603 and 82,014 is: 169,843.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,603 : 82,014 = 82,014 : x
  2. Step 2: Convert to fraction form
    39,603/82,014 = 82,014/x
  3. Step 3: Cross multiply
    39,603x = 82,014 × 82,014
  4. Step 4: Simplify right side
    39,603x = 6,726,296,196
  5. Step 5: Solve for x
    x = 6,726,296,196/39,603
  6. Step 6: Final answer
    x = 169,843.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.