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Finding the Third Proportional to 22,586 and 34,851

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Solution

The third proportional to 22,586 and 34,851 is: 53,776.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,586 : 34,851 = 34,851 : x
  2. Step 2: Convert to fraction form
    22,586/34,851 = 34,851/x
  3. Step 3: Cross multiply
    22,586x = 34,851 × 34,851
  4. Step 4: Simplify right side
    22,586x = 1,214,592,201
  5. Step 5: Solve for x
    x = 1,214,592,201/22,586
  6. Step 6: Final answer
    x = 53,776.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.