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Finding the Third Proportional to 2.00 and 2.28

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Solution

The third proportional to 2.00 and 2.28 is: 2.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.00 : 2.28 = 2.28 : x
  2. Step 2: Convert to fraction form
    2.00/2.28 = 2.28/x
  3. Step 3: Cross multiply
    2.00x = 2.28 × 2.28
  4. Step 4: Simplify right side
    2.00x = 5.18
  5. Step 5: Solve for x
    x = 5.18/2.00
  6. Step 6: Final answer
    x = 2.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.