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Finding the Third Proportional to 13,592.25 and 27,567.75

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Solution

The third proportional to 13,592.25 and 27,567.75 is: 55,912.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,592.25 : 27,567.75 = 27,567.75 : x
  2. Step 2: Convert to fraction form
    13,592.25/27,567.75 = 27,567.75/x
  3. Step 3: Cross multiply
    13,592.25x = 27,567.75 × 27,567.75
  4. Step 4: Simplify right side
    13,592.25x = 759,980,840.06
  5. Step 5: Solve for x
    x = 759,980,840.06/13,592.25
  6. Step 6: Final answer
    x = 55,912.81

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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.