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Finding the Third Proportional to 27,564.75 and 57,525.75

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Solution

The third proportional to 27,564.75 and 57,525.75 is: 120,052.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,564.75 : 57,525.75 = 57,525.75 : x
  2. Step 2: Convert to fraction form
    27,564.75/57,525.75 = 57,525.75/x
  3. Step 3: Cross multiply
    27,564.75x = 57,525.75 × 57,525.75
  4. Step 4: Simplify right side
    27,564.75x = 3,309,211,913.06
  5. Step 5: Solve for x
    x = 3,309,211,913.06/27,564.75
  6. Step 6: Final answer
    x = 120,052.31

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.