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Finding the Third Proportional to 5.63 and 12.19

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Solution

The third proportional to 5.63 and 12.19 is: 26.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.63 : 12.19 = 12.19 : x
  2. Step 2: Convert to fraction form
    5.63/12.19 = 12.19/x
  3. Step 3: Cross multiply
    5.63x = 12.19 × 12.19
  4. Step 4: Simplify right side
    5.63x = 148.54
  5. Step 5: Solve for x
    x = 148.54/5.63
  6. Step 6: Final answer
    x = 26.41

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1.5x scale

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.