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Finding the Third Proportional to 22,796 and 49,236

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Solution

The third proportional to 22,796 and 49,236 is: 106,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,796 : 49,236 = 49,236 : x
  2. Step 2: Convert to fraction form
    22,796/49,236 = 49,236/x
  3. Step 3: Cross multiply
    22,796x = 49,236 × 49,236
  4. Step 4: Simplify right side
    22,796x = 2,424,183,696
  5. Step 5: Solve for x
    x = 2,424,183,696/22,796
  6. Step 6: Final answer
    x = 106,342.50

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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.