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Finding the Third Proportional to 2,626.31 and 5,616.56

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Solution

The third proportional to 2,626.31 and 5,616.56 is: 12,011.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.31 : 5,616.56 = 5,616.56 : x
  2. Step 2: Convert to fraction form
    2,626.31/5,616.56 = 5,616.56/x
  3. Step 3: Cross multiply
    2,626.31x = 5,616.56 × 5,616.56
  4. Step 4: Simplify right side
    2,626.31x = 31,545,774.32
  5. Step 5: Solve for x
    x = 31,545,774.32/2,626.31
  6. Step 6: Final answer
    x = 12,011.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.