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Finding the Third Proportional to 22,866 and 34,359

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Solution

The third proportional to 22,866 and 34,359 is: 51,628.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,866 : 34,359 = 34,359 : x
  2. Step 2: Convert to fraction form
    22,866/34,359 = 34,359/x
  3. Step 3: Cross multiply
    22,866x = 34,359 × 34,359
  4. Step 4: Simplify right side
    22,866x = 1,180,540,881
  5. Step 5: Solve for x
    x = 1,180,540,881/22,866
  6. Step 6: Final answer
    x = 51,628.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.