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Finding the Third Proportional to 2,496.66 and 3,916.27

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Solution

The third proportional to 2,496.66 and 3,916.27 is: 6,143.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.66 : 3,916.27 = 3,916.27 : x
  2. Step 2: Convert to fraction form
    2,496.66/3,916.27 = 3,916.27/x
  3. Step 3: Cross multiply
    2,496.66x = 3,916.27 × 3,916.27
  4. Step 4: Simplify right side
    2,496.66x = 15,337,136.45
  5. Step 5: Solve for x
    x = 15,337,136.45/2,496.66
  6. Step 6: Final answer
    x = 6,143.07

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.