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Finding the Third Proportional to 27,231.75 and 59,802.75

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Solution

The third proportional to 27,231.75 and 59,802.75 is: 131,330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,231.75 : 59,802.75 = 59,802.75 : x
  2. Step 2: Convert to fraction form
    27,231.75/59,802.75 = 59,802.75/x
  3. Step 3: Cross multiply
    27,231.75x = 59,802.75 × 59,802.75
  4. Step 4: Simplify right side
    27,231.75x = 3,576,368,907.56
  5. Step 5: Solve for x
    x = 3,576,368,907.56/27,231.75
  6. Step 6: Final answer
    x = 131,330.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.