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Finding the Third Proportional to 31,111 and 47,847

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Solution

The third proportional to 31,111 and 47,847 is: 73,586.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,111 : 47,847 = 47,847 : x
  2. Step 2: Convert to fraction form
    31,111/47,847 = 47,847/x
  3. Step 3: Cross multiply
    31,111x = 47,847 × 47,847
  4. Step 4: Simplify right side
    31,111x = 2,289,335,409
  5. Step 5: Solve for x
    x = 2,289,335,409/31,111
  6. Step 6: Final answer
    x = 73,586.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.