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Finding the Third Proportional to 48,654 and 73,962

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Solution

The third proportional to 48,654 and 73,962 is: 112,434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,654 : 73,962 = 73,962 : x
  2. Step 2: Convert to fraction form
    48,654/73,962 = 73,962/x
  3. Step 3: Cross multiply
    48,654x = 73,962 × 73,962
  4. Step 4: Simplify right side
    48,654x = 5,470,377,444
  5. Step 5: Solve for x
    x = 5,470,377,444/48,654
  6. Step 6: Final answer
    x = 112,434.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.