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Finding the Third Proportional to 31,650 and 44,529

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Solution

The third proportional to 31,650 and 44,529 is: 62,648.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,650 : 44,529 = 44,529 : x
  2. Step 2: Convert to fraction form
    31,650/44,529 = 44,529/x
  3. Step 3: Cross multiply
    31,650x = 44,529 × 44,529
  4. Step 4: Simplify right side
    31,650x = 1,982,831,841
  5. Step 5: Solve for x
    x = 1,982,831,841/31,650
  6. Step 6: Final answer
    x = 62,648.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.