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Finding the Third Proportional to 10.42 and 15.59

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Solution

The third proportional to 10.42 and 15.59 is: 23.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.42 : 15.59 = 15.59 : x
  2. Step 2: Convert to fraction form
    10.42/15.59 = 15.59/x
  3. Step 3: Cross multiply
    10.42x = 15.59 × 15.59
  4. Step 4: Simplify right side
    10.42x = 242.92
  5. Step 5: Solve for x
    x = 242.92/10.42
  6. Step 6: Final answer
    x = 23.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.