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Finding the Third Proportional to 23,298 and 51,756

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Solution

The third proportional to 23,298 and 51,756 is: 114,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,298 : 51,756 = 51,756 : x
  2. Step 2: Convert to fraction form
    23,298/51,756 = 51,756/x
  3. Step 3: Cross multiply
    23,298x = 51,756 × 51,756
  4. Step 4: Simplify right side
    23,298x = 2,678,683,536
  5. Step 5: Solve for x
    x = 2,678,683,536/23,298
  6. Step 6: Final answer
    x = 114,974.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.