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Finding the Third Proportional to 2,285.72 and 3,267.84

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Solution

The third proportional to 2,285.72 and 3,267.84 is: 4,671.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.72 : 3,267.84 = 3,267.84 : x
  2. Step 2: Convert to fraction form
    2,285.72/3,267.84 = 3,267.84/x
  3. Step 3: Cross multiply
    2,285.72x = 3,267.84 × 3,267.84
  4. Step 4: Simplify right side
    2,285.72x = 10,678,802.77
  5. Step 5: Solve for x
    x = 10,678,802.77/2,285.72
  6. Step 6: Final answer
    x = 4,671.97

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.