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Finding the Third Proportional to 15.62 and 35.93

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Solution

The third proportional to 15.62 and 35.93 is: 82.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.62 : 35.93 = 35.93 : x
  2. Step 2: Convert to fraction form
    15.62/35.93 = 35.93/x
  3. Step 3: Cross multiply
    15.62x = 35.93 × 35.93
  4. Step 4: Simplify right side
    15.62x = 1,291.07
  5. Step 5: Solve for x
    x = 1,291.07/15.62
  6. Step 6: Final answer
    x = 82.64

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.