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Finding the Third Proportional to 20,665 and 44,834

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Solution

The third proportional to 20,665 and 44,834 is: 97,270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,665 : 44,834 = 44,834 : x
  2. Step 2: Convert to fraction form
    20,665/44,834 = 44,834/x
  3. Step 3: Cross multiply
    20,665x = 44,834 × 44,834
  4. Step 4: Simplify right side
    20,665x = 2,010,087,556
  5. Step 5: Solve for x
    x = 2,010,087,556/20,665
  6. Step 6: Final answer
    x = 97,270.15

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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.