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Finding the Third Proportional to 15,454.13 and 33,729.75

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Solution

The third proportional to 15,454.13 and 33,729.75 is: 73,617.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,454.13 : 33,729.75 = 33,729.75 : x
  2. Step 2: Convert to fraction form
    15,454.13/33,729.75 = 33,729.75/x
  3. Step 3: Cross multiply
    15,454.13x = 33,729.75 × 33,729.75
  4. Step 4: Simplify right side
    15,454.13x = 1,137,696,035.06
  5. Step 5: Solve for x
    x = 1,137,696,035.06/15,454.13
  6. Step 6: Final answer
    x = 73,617.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.