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Finding the Third Proportional to 14.97 and 23.13

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Solution

The third proportional to 14.97 and 23.13 is: 35.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.97 : 23.13 = 23.13 : x
  2. Step 2: Convert to fraction form
    14.97/23.13 = 23.13/x
  3. Step 3: Cross multiply
    14.97x = 23.13 × 23.13
  4. Step 4: Simplify right side
    14.97x = 534.77
  5. Step 5: Solve for x
    x = 534.77/14.97
  6. Step 6: Final answer
    x = 35.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.