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Finding the Third Proportional to 29,311 and 63,062

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Solution

The third proportional to 29,311 and 63,062 is: 135,676.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,311 : 63,062 = 63,062 : x
  2. Step 2: Convert to fraction form
    29,311/63,062 = 63,062/x
  3. Step 3: Cross multiply
    29,311x = 63,062 × 63,062
  4. Step 4: Simplify right side
    29,311x = 3,976,815,844
  5. Step 5: Solve for x
    x = 3,976,815,844/29,311
  6. Step 6: Final answer
    x = 135,676.57

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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.