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Finding the Third Proportional to 19.93 and 30.53

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Solution

The third proportional to 19.93 and 30.53 is: 46.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.93 : 30.53 = 30.53 : x
  2. Step 2: Convert to fraction form
    19.93/30.53 = 30.53/x
  3. Step 3: Cross multiply
    19.93x = 30.53 × 30.53
  4. Step 4: Simplify right side
    19.93x = 932.28
  5. Step 5: Solve for x
    x = 932.28/19.93
  6. Step 6: Final answer
    x = 46.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.