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Finding the Third Proportional to 22,439 and 34,261

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Solution

The third proportional to 22,439 and 34,261 is: 52,311.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,439 : 34,261 = 34,261 : x
  2. Step 2: Convert to fraction form
    22,439/34,261 = 34,261/x
  3. Step 3: Cross multiply
    22,439x = 34,261 × 34,261
  4. Step 4: Simplify right side
    22,439x = 1,173,816,121
  5. Step 5: Solve for x
    x = 1,173,816,121/22,439
  6. Step 6: Final answer
    x = 52,311.43

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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.