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Finding the Third Proportional to 22,131 and 47,783

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Solution

The third proportional to 22,131 and 47,783 is: 103,168.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,131 : 47,783 = 47,783 : x
  2. Step 2: Convert to fraction form
    22,131/47,783 = 47,783/x
  3. Step 3: Cross multiply
    22,131x = 47,783 × 47,783
  4. Step 4: Simplify right side
    22,131x = 2,283,215,089
  5. Step 5: Solve for x
    x = 2,283,215,089/22,131
  6. Step 6: Final answer
    x = 103,168.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.