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Finding the Third Proportional to 22,472 and 49,096

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Solution

The third proportional to 22,472 and 49,096 is: 107,263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472 : 49,096 = 49,096 : x
  2. Step 2: Convert to fraction form
    22,472/49,096 = 49,096/x
  3. Step 3: Cross multiply
    22,472x = 49,096 × 49,096
  4. Step 4: Simplify right side
    22,472x = 2,410,417,216
  5. Step 5: Solve for x
    x = 2,410,417,216/22,472
  6. Step 6: Final answer
    x = 107,263.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.