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Finding the Third Proportional to 22,734 and 34,821

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Solution

The third proportional to 22,734 and 34,821 is: 53,334.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,734 : 34,821 = 34,821 : x
  2. Step 2: Convert to fraction form
    22,734/34,821 = 34,821/x
  3. Step 3: Cross multiply
    22,734x = 34,821 × 34,821
  4. Step 4: Simplify right side
    22,734x = 1,212,502,041
  5. Step 5: Solve for x
    x = 1,212,502,041/22,734
  6. Step 6: Final answer
    x = 53,334.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.