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Finding the Third Proportional to 7,073.44 and 14,921.44

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Solution

The third proportional to 7,073.44 and 14,921.44 is: 31,476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.44 : 14,921.44 = 14,921.44 : x
  2. Step 2: Convert to fraction form
    7,073.44/14,921.44 = 14,921.44/x
  3. Step 3: Cross multiply
    7,073.44x = 14,921.44 × 14,921.44
  4. Step 4: Simplify right side
    7,073.44x = 222,649,297.07
  5. Step 5: Solve for x
    x = 222,649,297.07/7,073.44
  6. Step 6: Final answer
    x = 31,476.82

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.