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Finding the Third Proportional to 37.88 and 60.07

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Solution

The third proportional to 37.88 and 60.07 is: 95.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.88 : 60.07 = 60.07 : x
  2. Step 2: Convert to fraction form
    37.88/60.07 = 60.07/x
  3. Step 3: Cross multiply
    37.88x = 60.07 × 60.07
  4. Step 4: Simplify right side
    37.88x = 3,608.44
  5. Step 5: Solve for x
    x = 3,608.44/37.88
  6. Step 6: Final answer
    x = 95.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.