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Finding the Third Proportional to 2.19 and 4.63

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Solution

The third proportional to 2.19 and 4.63 is: 9.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.19 : 4.63 = 4.63 : x
  2. Step 2: Convert to fraction form
    2.19/4.63 = 4.63/x
  3. Step 3: Cross multiply
    2.19x = 4.63 × 4.63
  4. Step 4: Simplify right side
    2.19x = 21.39
  5. Step 5: Solve for x
    x = 21.39/2.19
  6. Step 6: Final answer
    x = 9.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.