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Finding the Third Proportional to 23,897 and 52,006

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Solution

The third proportional to 23,897 and 52,006 is: 113,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897 : 52,006 = 52,006 : x
  2. Step 2: Convert to fraction form
    23,897/52,006 = 52,006/x
  3. Step 3: Cross multiply
    23,897x = 52,006 × 52,006
  4. Step 4: Simplify right side
    23,897x = 2,704,624,036
  5. Step 5: Solve for x
    x = 2,704,624,036/23,897
  6. Step 6: Final answer
    x = 113,178.39

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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.