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Finding the Third Proportional to 29,362 and 63,116

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Solution

The third proportional to 29,362 and 63,116 is: 135,672.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,362 : 63,116 = 63,116 : x
  2. Step 2: Convert to fraction form
    29,362/63,116 = 63,116/x
  3. Step 3: Cross multiply
    29,362x = 63,116 × 63,116
  4. Step 4: Simplify right side
    29,362x = 3,983,629,456
  5. Step 5: Solve for x
    x = 3,983,629,456/29,362
  6. Step 6: Final answer
    x = 135,672.96

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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.