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Finding the Third Proportional to 6,451.75 and 9,085.38

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Solution

The third proportional to 6,451.75 and 9,085.38 is: 12,794.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.75 : 9,085.38 = 9,085.38 : x
  2. Step 2: Convert to fraction form
    6,451.75/9,085.38 = 9,085.38/x
  3. Step 3: Cross multiply
    6,451.75x = 9,085.38 × 9,085.38
  4. Step 4: Simplify right side
    6,451.75x = 82,544,038.89
  5. Step 5: Solve for x
    x = 82,544,038.89/6,451.75
  6. Step 6: Final answer
    x = 12,794.05

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.