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Finding the Third Proportional to 22,006 and 51,897

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Solution

The third proportional to 22,006 and 51,897 is: 122,389.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,006 : 51,897 = 51,897 : x
  2. Step 2: Convert to fraction form
    22,006/51,897 = 51,897/x
  3. Step 3: Cross multiply
    22,006x = 51,897 × 51,897
  4. Step 4: Simplify right side
    22,006x = 2,693,298,609
  5. Step 5: Solve for x
    x = 2,693,298,609/22,006
  6. Step 6: Final answer
    x = 122,389.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.