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Finding the Third Proportional to 22,131 and 47,949.75

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Solution

The third proportional to 22,131 and 47,949.75 is: 103,889.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,131 : 47,949.75 = 47,949.75 : x
  2. Step 2: Convert to fraction form
    22,131/47,949.75 = 47,949.75/x
  3. Step 3: Cross multiply
    22,131x = 47,949.75 × 47,949.75
  4. Step 4: Simplify right side
    22,131x = 2,299,178,525.06
  5. Step 5: Solve for x
    x = 2,299,178,525.06/22,131
  6. Step 6: Final answer
    x = 103,889.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.