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Finding the Third Proportional to 14.77 and 23.41

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Solution

The third proportional to 14.77 and 23.41 is: 37.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.77 : 23.41 = 23.41 : x
  2. Step 2: Convert to fraction form
    14.77/23.41 = 23.41/x
  3. Step 3: Cross multiply
    14.77x = 23.41 × 23.41
  4. Step 4: Simplify right side
    14.77x = 548.22
  5. Step 5: Solve for x
    x = 548.22/14.77
  6. Step 6: Final answer
    x = 37.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.