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Finding the Third Proportional to 19.93 and 43.16

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Solution

The third proportional to 19.93 and 43.16 is: 93.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.93 : 43.16 = 43.16 : x
  2. Step 2: Convert to fraction form
    19.93/43.16 = 43.16/x
  3. Step 3: Cross multiply
    19.93x = 43.16 × 43.16
  4. Step 4: Simplify right side
    19.93x = 1,862.51
  5. Step 5: Solve for x
    x = 1,862.51/19.93
  6. Step 6: Final answer
    x = 93.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.