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Finding the Third Proportional to 20,715.75 and 33,184.69

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Solution

The third proportional to 20,715.75 and 33,184.69 is: 53,158.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,715.75 : 33,184.69 = 33,184.69 : x
  2. Step 2: Convert to fraction form
    20,715.75/33,184.69 = 33,184.69/x
  3. Step 3: Cross multiply
    20,715.75x = 33,184.69 × 33,184.69
  4. Step 4: Simplify right side
    20,715.75x = 1,101,223,484.47
  5. Step 5: Solve for x
    x = 1,101,223,484.47/20,715.75
  6. Step 6: Final answer
    x = 53,158.76

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.