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Finding the Third Proportional to 2,053.13 and 3,183.75

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Solution

The third proportional to 2,053.13 and 3,183.75 is: 4,936.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.13 : 3,183.75 = 3,183.75 : x
  2. Step 2: Convert to fraction form
    2,053.13/3,183.75 = 3,183.75/x
  3. Step 3: Cross multiply
    2,053.13x = 3,183.75 × 3,183.75
  4. Step 4: Simplify right side
    2,053.13x = 10,136,264.06
  5. Step 5: Solve for x
    x = 10,136,264.06/2,053.13
  6. Step 6: Final answer
    x = 4,936.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.