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Finding the Third Proportional to 29,799 and 63,925

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Solution

The third proportional to 29,799 and 63,925 is: 137,132.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,799 : 63,925 = 63,925 : x
  2. Step 2: Convert to fraction form
    29,799/63,925 = 63,925/x
  3. Step 3: Cross multiply
    29,799x = 63,925 × 63,925
  4. Step 4: Simplify right side
    29,799x = 4,086,405,625
  5. Step 5: Solve for x
    x = 4,086,405,625/29,799
  6. Step 6: Final answer
    x = 137,132.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.