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Finding the Third Proportional to 6,093.38 and 13,288.50

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Solution

The third proportional to 6,093.38 and 13,288.50 is: 28,979.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.38 : 13,288.50 = 13,288.50 : x
  2. Step 2: Convert to fraction form
    6,093.38/13,288.50 = 13,288.50/x
  3. Step 3: Cross multiply
    6,093.38x = 13,288.50 × 13,288.50
  4. Step 4: Simplify right side
    6,093.38x = 176,584,232.25
  5. Step 5: Solve for x
    x = 176,584,232.25/6,093.38
  6. Step 6: Final answer
    x = 28,979.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.