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Finding the Third Proportional to 29,433 and 63,777

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Solution

The third proportional to 29,433 and 63,777 is: 138,195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,433 : 63,777 = 63,777 : x
  2. Step 2: Convert to fraction form
    29,433/63,777 = 63,777/x
  3. Step 3: Cross multiply
    29,433x = 63,777 × 63,777
  4. Step 4: Simplify right side
    29,433x = 4,067,505,729
  5. Step 5: Solve for x
    x = 4,067,505,729/29,433
  6. Step 6: Final answer
    x = 138,195.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.