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Finding the Third Proportional to 22,229.75 and 34,269

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Solution

The third proportional to 22,229.75 and 34,269 is: 52,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,229.75 : 34,269 = 34,269 : x
  2. Step 2: Convert to fraction form
    22,229.75/34,269 = 34,269/x
  3. Step 3: Cross multiply
    22,229.75x = 34,269 × 34,269
  4. Step 4: Simplify right side
    22,229.75x = 1,174,364,361
  5. Step 5: Solve for x
    x = 1,174,364,361/22,229.75
  6. Step 6: Final answer
    x = 52,828.50

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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.