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Finding the Third Proportional to 2,621.53 and 5,631.61

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Solution

The third proportional to 2,621.53 and 5,631.61 is: 12,097.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.53 : 5,631.61 = 5,631.61 : x
  2. Step 2: Convert to fraction form
    2,621.53/5,631.61 = 5,631.61/x
  3. Step 3: Cross multiply
    2,621.53x = 5,631.61 × 5,631.61
  4. Step 4: Simplify right side
    2,621.53x = 31,715,024.15
  5. Step 5: Solve for x
    x = 31,715,024.15/2,621.53
  6. Step 6: Final answer
    x = 12,097.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.