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Finding the Third Proportional to 15.37 and 32.73

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Solution

The third proportional to 15.37 and 32.73 is: 69.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.37 : 32.73 = 32.73 : x
  2. Step 2: Convert to fraction form
    15.37/32.73 = 32.73/x
  3. Step 3: Cross multiply
    15.37x = 32.73 × 32.73
  4. Step 4: Simplify right side
    15.37x = 1,071.58
  5. Step 5: Solve for x
    x = 1,071.58/15.37
  6. Step 6: Final answer
    x = 69.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.