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Finding the Third Proportional to 1.64 and 3.40

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Solution

The third proportional to 1.64 and 3.40 is: 7.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.64 : 3.40 = 3.40 : x
  2. Step 2: Convert to fraction form
    1.64/3.40 = 3.40/x
  3. Step 3: Cross multiply
    1.64x = 3.40 × 3.40
  4. Step 4: Simplify right side
    1.64x = 11.55
  5. Step 5: Solve for x
    x = 11.55/1.64
  6. Step 6: Final answer
    x = 7.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.