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Finding the Third Proportional to 17,666.86 and 37,785.55

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Solution

The third proportional to 17,666.86 and 37,785.55 is: 80,815.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,666.86 : 37,785.55 = 37,785.55 : x
  2. Step 2: Convert to fraction form
    17,666.86/37,785.55 = 37,785.55/x
  3. Step 3: Cross multiply
    17,666.86x = 37,785.55 × 37,785.55
  4. Step 4: Simplify right side
    17,666.86x = 1,427,747,847.84
  5. Step 5: Solve for x
    x = 1,427,747,847.84/17,666.86
  6. Step 6: Final answer
    x = 80,815.03

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.