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Finding the Third Proportional to 31,244 and 47,913

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Solution

The third proportional to 31,244 and 47,913 is: 73,475.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,244 : 47,913 = 47,913 : x
  2. Step 2: Convert to fraction form
    31,244/47,913 = 47,913/x
  3. Step 3: Cross multiply
    31,244x = 47,913 × 47,913
  4. Step 4: Simplify right side
    31,244x = 2,295,655,569
  5. Step 5: Solve for x
    x = 2,295,655,569/31,244
  6. Step 6: Final answer
    x = 73,475.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.