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Finding the Third Proportional to 22,128.50 and 34,262.75

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Solution

The third proportional to 22,128.50 and 34,262.75 is: 53,050.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,128.50 : 34,262.75 = 34,262.75 : x
  2. Step 2: Convert to fraction form
    22,128.50/34,262.75 = 34,262.75/x
  3. Step 3: Cross multiply
    22,128.50x = 34,262.75 × 34,262.75
  4. Step 4: Simplify right side
    22,128.50x = 1,173,936,037.56
  5. Step 5: Solve for x
    x = 1,173,936,037.56/22,128.50
  6. Step 6: Final answer
    x = 53,050.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.