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Finding the Third Proportional to 1.14 and 1.64

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Solution

The third proportional to 1.14 and 1.64 is: 2.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.14 : 1.64 = 1.64 : x
  2. Step 2: Convert to fraction form
    1.14/1.64 = 1.64/x
  3. Step 3: Cross multiply
    1.14x = 1.64 × 1.64
  4. Step 4: Simplify right side
    1.14x = 2.69
  5. Step 5: Solve for x
    x = 2.69/1.14
  6. Step 6: Final answer
    x = 2.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.