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Finding the Third Proportional to 37,367.50 and 62,279

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Solution

The third proportional to 37,367.50 and 62,279 is: 103,798.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,367.50 : 62,279 = 62,279 : x
  2. Step 2: Convert to fraction form
    37,367.50/62,279 = 62,279/x
  3. Step 3: Cross multiply
    37,367.50x = 62,279 × 62,279
  4. Step 4: Simplify right side
    37,367.50x = 3,878,673,841
  5. Step 5: Solve for x
    x = 3,878,673,841/37,367.50
  6. Step 6: Final answer
    x = 103,798.06

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.