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Finding the Third Proportional to 48,322 and 73,924

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Solution

The third proportional to 48,322 and 73,924 is: 113,090.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,322 : 73,924 = 73,924 : x
  2. Step 2: Convert to fraction form
    48,322/73,924 = 73,924/x
  3. Step 3: Cross multiply
    48,322x = 73,924 × 73,924
  4. Step 4: Simplify right side
    48,322x = 5,464,757,776
  5. Step 5: Solve for x
    x = 5,464,757,776/48,322
  6. Step 6: Final answer
    x = 113,090.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.