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Finding the Third Proportional to 5,339.81 and 8,388.56

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Solution

The third proportional to 5,339.81 and 8,388.56 is: 13,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.81 : 8,388.56 = 8,388.56 : x
  2. Step 2: Convert to fraction form
    5,339.81/8,388.56 = 8,388.56/x
  3. Step 3: Cross multiply
    5,339.81x = 8,388.56 × 8,388.56
  4. Step 4: Simplify right side
    5,339.81x = 70,367,980.82
  5. Step 5: Solve for x
    x = 70,367,980.82/5,339.81
  6. Step 6: Final answer
    x = 13,177.99

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.