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Finding the Third Proportional to 2.18 and 4.60

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Solution

The third proportional to 2.18 and 4.60 is: 9.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.18 : 4.60 = 4.60 : x
  2. Step 2: Convert to fraction form
    2.18/4.60 = 4.60/x
  3. Step 3: Cross multiply
    2.18x = 4.60 × 4.60
  4. Step 4: Simplify right side
    2.18x = 21.13
  5. Step 5: Solve for x
    x = 21.13/2.18
  6. Step 6: Final answer
    x = 9.70

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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.