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Finding the Third Proportional to 16.36 and 23.93

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Solution

The third proportional to 16.36 and 23.93 is: 34.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.36 : 23.93 = 23.93 : x
  2. Step 2: Convert to fraction form
    16.36/23.93 = 23.93/x
  3. Step 3: Cross multiply
    16.36x = 23.93 × 23.93
  4. Step 4: Simplify right side
    16.36x = 572.61
  5. Step 5: Solve for x
    x = 572.61/16.36
  6. Step 6: Final answer
    x = 34.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.