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Finding the Third Proportional to 5,748.19 and 8,134.31

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Solution

The third proportional to 5,748.19 and 8,134.31 is: 11,510.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.19 : 8,134.31 = 8,134.31 : x
  2. Step 2: Convert to fraction form
    5,748.19/8,134.31 = 8,134.31/x
  3. Step 3: Cross multiply
    5,748.19x = 8,134.31 × 8,134.31
  4. Step 4: Simplify right side
    5,748.19x = 66,167,039.85
  5. Step 5: Solve for x
    x = 66,167,039.85/5,748.19
  6. Step 6: Final answer
    x = 11,510.94

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.