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Finding the Third Proportional to 22,096.50 and 33,465.75

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Solution

The third proportional to 22,096.50 and 33,465.75 is: 50,684.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,096.50 : 33,465.75 = 33,465.75 : x
  2. Step 2: Convert to fraction form
    22,096.50/33,465.75 = 33,465.75/x
  3. Step 3: Cross multiply
    22,096.50x = 33,465.75 × 33,465.75
  4. Step 4: Simplify right side
    22,096.50x = 1,119,956,423.06
  5. Step 5: Solve for x
    x = 1,119,956,423.06/22,096.50
  6. Step 6: Final answer
    x = 50,684.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.