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Finding the Third Proportional to 5,916.27 and 12,621.86

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Solution

The third proportional to 5,916.27 and 12,621.86 is: 26,927.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916.27 : 12,621.86 = 12,621.86 : x
  2. Step 2: Convert to fraction form
    5,916.27/12,621.86 = 12,621.86/x
  3. Step 3: Cross multiply
    5,916.27x = 12,621.86 × 12,621.86
  4. Step 4: Simplify right side
    5,916.27x = 159,311,334.08
  5. Step 5: Solve for x
    x = 159,311,334.08/5,916.27
  6. Step 6: Final answer
    x = 26,927.68

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.