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Finding the Third Proportional to 15,493 and 33,950

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Solution

The third proportional to 15,493 and 33,950 is: 74,395.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,493 : 33,950 = 33,950 : x
  2. Step 2: Convert to fraction form
    15,493/33,950 = 33,950/x
  3. Step 3: Cross multiply
    15,493x = 33,950 × 33,950
  4. Step 4: Simplify right side
    15,493x = 1,152,602,500
  5. Step 5: Solve for x
    x = 1,152,602,500/15,493
  6. Step 6: Final answer
    x = 74,395.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.