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Finding the Third Proportional to 35,637 and 76,923

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Solution

The third proportional to 35,637 and 76,923 is: 166,039.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,637 : 76,923 = 76,923 : x
  2. Step 2: Convert to fraction form
    35,637/76,923 = 76,923/x
  3. Step 3: Cross multiply
    35,637x = 76,923 × 76,923
  4. Step 4: Simplify right side
    35,637x = 5,917,147,929
  5. Step 5: Solve for x
    x = 5,917,147,929/35,637
  6. Step 6: Final answer
    x = 166,039.45

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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.