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Finding the Third Proportional to 23.94 and 37.63

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Solution

The third proportional to 23.94 and 37.63 is: 59.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.94 : 37.63 = 37.63 : x
  2. Step 2: Convert to fraction form
    23.94/37.63 = 37.63/x
  3. Step 3: Cross multiply
    23.94x = 37.63 × 37.63
  4. Step 4: Simplify right side
    23.94x = 1,415.64
  5. Step 5: Solve for x
    x = 1,415.64/23.94
  6. Step 6: Final answer
    x = 59.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.