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Finding the Third Proportional to 15,965.44 and 34,693.31

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Solution

The third proportional to 15,965.44 and 34,693.31 is: 75,389.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,965.44 : 34,693.31 = 34,693.31 : x
  2. Step 2: Convert to fraction form
    15,965.44/34,693.31 = 34,693.31/x
  3. Step 3: Cross multiply
    15,965.44x = 34,693.31 × 34,693.31
  4. Step 4: Simplify right side
    15,965.44x = 1,203,625,932.22
  5. Step 5: Solve for x
    x = 1,203,625,932.22/15,965.44
  6. Step 6: Final answer
    x = 75,389.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.