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Finding the Third Proportional to 1.64 and 3.43

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Solution

The third proportional to 1.64 and 3.43 is: 7.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.64 : 3.43 = 3.43 : x
  2. Step 2: Convert to fraction form
    1.64/3.43 = 3.43/x
  3. Step 3: Cross multiply
    1.64x = 3.43 × 3.43
  4. Step 4: Simplify right side
    1.64x = 11.80
  5. Step 5: Solve for x
    x = 11.80/1.64
  6. Step 6: Final answer
    x = 7.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.