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Finding the Third Proportional to 2,596.13 and 5,630.44

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Solution

The third proportional to 2,596.13 and 5,630.44 is: 12,211.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.13 : 5,630.44 = 5,630.44 : x
  2. Step 2: Convert to fraction form
    2,596.13/5,630.44 = 5,630.44/x
  3. Step 3: Cross multiply
    2,596.13x = 5,630.44 × 5,630.44
  4. Step 4: Simplify right side
    2,596.13x = 31,701,826.44
  5. Step 5: Solve for x
    x = 31,701,826.44/2,596.13
  6. Step 6: Final answer
    x = 12,211.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.