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Finding the Third Proportional to 5,705.44 and 11,567.81

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Solution

The third proportional to 5,705.44 and 11,567.81 is: 23,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.44 : 11,567.81 = 11,567.81 : x
  2. Step 2: Convert to fraction form
    5,705.44/11,567.81 = 11,567.81/x
  3. Step 3: Cross multiply
    5,705.44x = 11,567.81 × 11,567.81
  4. Step 4: Simplify right side
    5,705.44x = 133,814,286.04
  5. Step 5: Solve for x
    x = 133,814,286.04/5,705.44
  6. Step 6: Final answer
    x = 23,453.82

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.