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Finding the Third Proportional to 19.93 and 43.51

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Solution

The third proportional to 19.93 and 43.51 is: 94.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.93 : 43.51 = 43.51 : x
  2. Step 2: Convert to fraction form
    19.93/43.51 = 43.51/x
  3. Step 3: Cross multiply
    19.93x = 43.51 × 43.51
  4. Step 4: Simplify right side
    19.93x = 1,892.76
  5. Step 5: Solve for x
    x = 1,892.76/19.93
  6. Step 6: Final answer
    x = 94.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.