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Finding the Third Proportional to 31,464 and 44,847

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Solution

The third proportional to 31,464 and 44,847 is: 63,922.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,464 : 44,847 = 44,847 : x
  2. Step 2: Convert to fraction form
    31,464/44,847 = 44,847/x
  3. Step 3: Cross multiply
    31,464x = 44,847 × 44,847
  4. Step 4: Simplify right side
    31,464x = 2,011,253,409
  5. Step 5: Solve for x
    x = 2,011,253,409/31,464
  6. Step 6: Final answer
    x = 63,922.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.