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Finding the Third Proportional to 7,096.97 and 14,928.94

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Solution

The third proportional to 7,096.97 and 14,928.94 is: 31,404.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.97 : 14,928.94 = 14,928.94 : x
  2. Step 2: Convert to fraction form
    7,096.97/14,928.94 = 14,928.94/x
  3. Step 3: Cross multiply
    7,096.97x = 14,928.94 × 14,928.94
  4. Step 4: Simplify right side
    7,096.97x = 222,873,174.88
  5. Step 5: Solve for x
    x = 222,873,174.88/7,096.97
  6. Step 6: Final answer
    x = 31,404.00

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.