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Finding the Third Proportional to 39,603 and 61,997

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Solution

The third proportional to 39,603 and 61,997 is: 97,053.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,603 : 61,997 = 61,997 : x
  2. Step 2: Convert to fraction form
    39,603/61,997 = 61,997/x
  3. Step 3: Cross multiply
    39,603x = 61,997 × 61,997
  4. Step 4: Simplify right side
    39,603x = 3,843,628,009
  5. Step 5: Solve for x
    x = 3,843,628,009/39,603
  6. Step 6: Final answer
    x = 97,053.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.