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Finding the Third Proportional to 34,000.59 and 47,796.33

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Solution

The third proportional to 34,000.59 and 47,796.33 is: 67,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,000.59 : 47,796.33 = 47,796.33 : x
  2. Step 2: Convert to fraction form
    34,000.59/47,796.33 = 47,796.33/x
  3. Step 3: Cross multiply
    34,000.59x = 47,796.33 × 47,796.33
  4. Step 4: Simplify right side
    34,000.59x = 2,284,488,982.23
  5. Step 5: Solve for x
    x = 2,284,488,982.23/34,000.59
  6. Step 6: Final answer
    x = 67,189.68

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.