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Finding the Third Proportional to 6,948.07 and 15,193.62

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Solution

The third proportional to 6,948.07 and 15,193.62 is: 33,224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.07 : 15,193.62 = 15,193.62 : x
  2. Step 2: Convert to fraction form
    6,948.07/15,193.62 = 15,193.62/x
  3. Step 3: Cross multiply
    6,948.07x = 15,193.62 × 15,193.62
  4. Step 4: Simplify right side
    6,948.07x = 230,846,003.24
  5. Step 5: Solve for x
    x = 230,846,003.24/6,948.07
  6. Step 6: Final answer
    x = 33,224.48

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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.