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Finding the Third Proportional to 2.12 and 4.64

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Solution

The third proportional to 2.12 and 4.64 is: 10.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.12 : 4.64 = 4.64 : x
  2. Step 2: Convert to fraction form
    2.12/4.64 = 4.64/x
  3. Step 3: Cross multiply
    2.12x = 4.64 × 4.64
  4. Step 4: Simplify right side
    2.12x = 21.50
  5. Step 5: Solve for x
    x = 21.50/2.12
  6. Step 6: Final answer
    x = 10.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.