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Finding the Third Proportional to 16.45 and 24.93

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Solution

The third proportional to 16.45 and 24.93 is: 37.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.45 : 24.93 = 24.93 : x
  2. Step 2: Convert to fraction form
    16.45/24.93 = 24.93/x
  3. Step 3: Cross multiply
    16.45x = 24.93 × 24.93
  4. Step 4: Simplify right side
    16.45x = 621.29
  5. Step 5: Solve for x
    x = 621.29/16.45
  6. Step 6: Final answer
    x = 37.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.