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Finding the Third Proportional to 6,023.53 and 8,857.27

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Solution

The third proportional to 6,023.53 and 8,857.27 is: 13,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023.53 : 8,857.27 = 8,857.27 : x
  2. Step 2: Convert to fraction form
    6,023.53/8,857.27 = 8,857.27/x
  3. Step 3: Cross multiply
    6,023.53x = 8,857.27 × 8,857.27
  4. Step 4: Simplify right side
    6,023.53x = 78,451,154.35
  5. Step 5: Solve for x
    x = 78,451,154.35/6,023.53
  6. Step 6: Final answer
    x = 13,024.11

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.