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Finding the Third Proportional to 19.13 and 24.84

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Solution

The third proportional to 19.13 and 24.84 is: 32.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.13 : 24.84 = 24.84 : x
  2. Step 2: Convert to fraction form
    19.13/24.84 = 24.84/x
  3. Step 3: Cross multiply
    19.13x = 24.84 × 24.84
  4. Step 4: Simplify right side
    19.13x = 617.21
  5. Step 5: Solve for x
    x = 617.21/19.13
  6. Step 6: Final answer
    x = 32.27

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.