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Finding the Third Proportional to 22,922 and 34,521

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Solution

The third proportional to 22,922 and 34,521 is: 51,989.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,922 : 34,521 = 34,521 : x
  2. Step 2: Convert to fraction form
    22,922/34,521 = 34,521/x
  3. Step 3: Cross multiply
    22,922x = 34,521 × 34,521
  4. Step 4: Simplify right side
    22,922x = 1,191,699,441
  5. Step 5: Solve for x
    x = 1,191,699,441/22,922
  6. Step 6: Final answer
    x = 51,989.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.