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Finding the Third Proportional to 37.97 and 58.64

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Solution

The third proportional to 37.97 and 58.64 is: 90.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.97 : 58.64 = 58.64 : x
  2. Step 2: Convert to fraction form
    37.97/58.64 = 58.64/x
  3. Step 3: Cross multiply
    37.97x = 58.64 × 58.64
  4. Step 4: Simplify right side
    37.97x = 3,438.72
  5. Step 5: Solve for x
    x = 3,438.72/37.97
  6. Step 6: Final answer
    x = 90.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.