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Finding the Third Proportional to 15.90 and 33.93

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Solution

The third proportional to 15.90 and 33.93 is: 72.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.90 : 33.93 = 33.93 : x
  2. Step 2: Convert to fraction form
    15.90/33.93 = 33.93/x
  3. Step 3: Cross multiply
    15.90x = 33.93 × 33.93
  4. Step 4: Simplify right side
    15.90x = 1,151.56
  5. Step 5: Solve for x
    x = 1,151.56/15.90
  6. Step 6: Final answer
    x = 72.43

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