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Finding the Third Proportional to 22,306.75 and 29,738.75

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Solution

The third proportional to 22,306.75 and 29,738.75 is: 39,646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,306.75 : 29,738.75 = 29,738.75 : x
  2. Step 2: Convert to fraction form
    22,306.75/29,738.75 = 29,738.75/x
  3. Step 3: Cross multiply
    22,306.75x = 29,738.75 × 29,738.75
  4. Step 4: Simplify right side
    22,306.75x = 884,393,251.56
  5. Step 5: Solve for x
    x = 884,393,251.56/22,306.75
  6. Step 6: Final answer
    x = 39,646.89

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.