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Finding the Third Proportional to 5,586.28 and 11,559.19

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Solution

The third proportional to 5,586.28 and 11,559.19 is: 23,918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.28 : 11,559.19 = 11,559.19 : x
  2. Step 2: Convert to fraction form
    5,586.28/11,559.19 = 11,559.19/x
  3. Step 3: Cross multiply
    5,586.28x = 11,559.19 × 11,559.19
  4. Step 4: Simplify right side
    5,586.28x = 133,614,815.66
  5. Step 5: Solve for x
    x = 133,614,815.66/5,586.28
  6. Step 6: Final answer
    x = 23,918.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.