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Finding the Third Proportional to 22,996 and 49,273

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Solution

The third proportional to 22,996 and 49,273 is: 105,576.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996 : 49,273 = 49,273 : x
  2. Step 2: Convert to fraction form
    22,996/49,273 = 49,273/x
  3. Step 3: Cross multiply
    22,996x = 49,273 × 49,273
  4. Step 4: Simplify right side
    22,996x = 2,427,828,529
  5. Step 5: Solve for x
    x = 2,427,828,529/22,996
  6. Step 6: Final answer
    x = 105,576.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.