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Finding the Third Proportional to 15.01 and 32.73

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Solution

The third proportional to 15.01 and 32.73 is: 71.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.01 : 32.73 = 32.73 : x
  2. Step 2: Convert to fraction form
    15.01/32.73 = 32.73/x
  3. Step 3: Cross multiply
    15.01x = 32.73 × 32.73
  4. Step 4: Simplify right side
    15.01x = 1,071.28
  5. Step 5: Solve for x
    x = 1,071.28/15.01
  6. Step 6: Final answer
    x = 71.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.