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Finding the Third Proportional to 5,337.56 and 7,976.81

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Solution

The third proportional to 5,337.56 and 7,976.81 is: 11,921.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.56 : 7,976.81 = 7,976.81 : x
  2. Step 2: Convert to fraction form
    5,337.56/7,976.81 = 7,976.81/x
  3. Step 3: Cross multiply
    5,337.56x = 7,976.81 × 7,976.81
  4. Step 4: Simplify right side
    5,337.56x = 63,629,537.66
  5. Step 5: Solve for x
    x = 63,629,537.66/5,337.56
  6. Step 6: Final answer
    x = 11,921.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.