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Finding the Third Proportional to 2.17 and 3.35

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Solution

The third proportional to 2.17 and 3.35 is: 5.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.17 : 3.35 = 3.35 : x
  2. Step 2: Convert to fraction form
    2.17/3.35 = 3.35/x
  3. Step 3: Cross multiply
    2.17x = 3.35 × 3.35
  4. Step 4: Simplify right side
    2.17x = 11.22
  5. Step 5: Solve for x
    x = 11.22/2.17
  6. Step 6: Final answer
    x = 5.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.