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Finding the Third Proportional to 34,402.13 and 50,965.31

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Solution

The third proportional to 34,402.13 and 50,965.31 is: 75,502.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,402.13 : 50,965.31 = 50,965.31 : x
  2. Step 2: Convert to fraction form
    34,402.13/50,965.31 = 50,965.31/x
  3. Step 3: Cross multiply
    34,402.13x = 50,965.31 × 50,965.31
  4. Step 4: Simplify right side
    34,402.13x = 2,597,463,078.22
  5. Step 5: Solve for x
    x = 2,597,463,078.22/34,402.13
  6. Step 6: Final answer
    x = 75,502.98

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.