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Finding the Third Proportional to 27,573.75 and 41,250.38

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Solution

The third proportional to 27,573.75 and 41,250.38 is: 61,710.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,573.75 : 41,250.38 = 41,250.38 : x
  2. Step 2: Convert to fraction form
    27,573.75/41,250.38 = 41,250.38/x
  3. Step 3: Cross multiply
    27,573.75x = 41,250.38 × 41,250.38
  4. Step 4: Simplify right side
    27,573.75x = 1,701,593,437.64
  5. Step 5: Solve for x
    x = 1,701,593,437.64/27,573.75
  6. Step 6: Final answer
    x = 61,710.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.