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Finding the Third Proportional to 17,748.81 and 37,865.69

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Solution

The third proportional to 17,748.81 and 37,865.69 is: 80,783.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,748.81 : 37,865.69 = 37,865.69 : x
  2. Step 2: Convert to fraction form
    17,748.81/37,865.69 = 37,865.69/x
  3. Step 3: Cross multiply
    17,748.81x = 37,865.69 × 37,865.69
  4. Step 4: Simplify right side
    17,748.81x = 1,433,810,289.85
  5. Step 5: Solve for x
    x = 1,433,810,289.85/17,748.81
  6. Step 6: Final answer
    x = 80,783.45

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.