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Finding the Third Proportional to 22,684 and 30,897

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Solution

The third proportional to 22,684 and 30,897 is: 42,083.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684 : 30,897 = 30,897 : x
  2. Step 2: Convert to fraction form
    22,684/30,897 = 30,897/x
  3. Step 3: Cross multiply
    22,684x = 30,897 × 30,897
  4. Step 4: Simplify right side
    22,684x = 954,624,609
  5. Step 5: Solve for x
    x = 954,624,609/22,684
  6. Step 6: Final answer
    x = 42,083.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.