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Finding the Third Proportional to 2,530.31 and 5,558.81

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Solution

The third proportional to 2,530.31 and 5,558.81 is: 12,212.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.31 : 5,558.81 = 5,558.81 : x
  2. Step 2: Convert to fraction form
    2,530.31/5,558.81 = 5,558.81/x
  3. Step 3: Cross multiply
    2,530.31x = 5,558.81 × 5,558.81
  4. Step 4: Simplify right side
    2,530.31x = 30,900,396.41
  5. Step 5: Solve for x
    x = 30,900,396.41/2,530.31
  6. Step 6: Final answer
    x = 12,212.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.