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Finding the Third Proportional to 35,027 and 74,973

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Solution

The third proportional to 35,027 and 74,973 is: 160,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,027 : 74,973 = 74,973 : x
  2. Step 2: Convert to fraction form
    35,027/74,973 = 74,973/x
  3. Step 3: Cross multiply
    35,027x = 74,973 × 74,973
  4. Step 4: Simplify right side
    35,027x = 5,620,950,729
  5. Step 5: Solve for x
    x = 5,620,950,729/35,027
  6. Step 6: Final answer
    x = 160,474.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.