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Finding the Third Proportional to 31,122 and 47,836

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Solution

The third proportional to 31,122 and 47,836 is: 73,526.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,122 : 47,836 = 47,836 : x
  2. Step 2: Convert to fraction form
    31,122/47,836 = 47,836/x
  3. Step 3: Cross multiply
    31,122x = 47,836 × 47,836
  4. Step 4: Simplify right side
    31,122x = 2,288,282,896
  5. Step 5: Solve for x
    x = 2,288,282,896/31,122
  6. Step 6: Final answer
    x = 73,526.22

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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.