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Finding the Third Proportional to 13.80 and 21.19

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Solution

The third proportional to 13.80 and 21.19 is: 32.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.80 : 21.19 = 21.19 : x
  2. Step 2: Convert to fraction form
    13.80/21.19 = 21.19/x
  3. Step 3: Cross multiply
    13.80x = 21.19 × 21.19
  4. Step 4: Simplify right side
    13.80x = 448.91
  5. Step 5: Solve for x
    x = 448.91/13.80
  6. Step 6: Final answer
    x = 32.52

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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.