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Finding the Third Proportional to 5,505.75 and 12,237.75

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Solution

The third proportional to 5,505.75 and 12,237.75 is: 27,201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505.75 : 12,237.75 = 12,237.75 : x
  2. Step 2: Convert to fraction form
    5,505.75/12,237.75 = 12,237.75/x
  3. Step 3: Cross multiply
    5,505.75x = 12,237.75 × 12,237.75
  4. Step 4: Simplify right side
    5,505.75x = 149,762,525.06
  5. Step 5: Solve for x
    x = 149,762,525.06/5,505.75
  6. Step 6: Final answer
    x = 27,201.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.