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Finding the Third Proportional to 10,868 and 23,605

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Solution

The third proportional to 10,868 and 23,605 is: 51,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,868 : 23,605 = 23,605 : x
  2. Step 2: Convert to fraction form
    10,868/23,605 = 23,605/x
  3. Step 3: Cross multiply
    10,868x = 23,605 × 23,605
  4. Step 4: Simplify right side
    10,868x = 557,196,025
  5. Step 5: Solve for x
    x = 557,196,025/10,868
  6. Step 6: Final answer
    x = 51,269.42

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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.