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Finding the Third Proportional to 3,123.56 and 6,626.81

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Solution

The third proportional to 3,123.56 and 6,626.81 is: 14,059.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.56 : 6,626.81 = 6,626.81 : x
  2. Step 2: Convert to fraction form
    3,123.56/6,626.81 = 6,626.81/x
  3. Step 3: Cross multiply
    3,123.56x = 6,626.81 × 6,626.81
  4. Step 4: Simplify right side
    3,123.56x = 43,914,643.91
  5. Step 5: Solve for x
    x = 43,914,643.91/3,123.56
  6. Step 6: Final answer
    x = 14,059.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.