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Finding the Third Proportional to 34,983 and 75,494

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Solution

The third proportional to 34,983 and 75,494 is: 162,917.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,983 : 75,494 = 75,494 : x
  2. Step 2: Convert to fraction form
    34,983/75,494 = 75,494/x
  3. Step 3: Cross multiply
    34,983x = 75,494 × 75,494
  4. Step 4: Simplify right side
    34,983x = 5,699,344,036
  5. Step 5: Solve for x
    x = 5,699,344,036/34,983
  6. Step 6: Final answer
    x = 162,917.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.