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Finding the Third Proportional to 2.00 and 4.30

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Solution

The third proportional to 2.00 and 4.30 is: 9.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.00 : 4.30 = 4.30 : x
  2. Step 2: Convert to fraction form
    2.00/4.30 = 4.30/x
  3. Step 3: Cross multiply
    2.00x = 4.30 × 4.30
  4. Step 4: Simplify right side
    2.00x = 18.46
  5. Step 5: Solve for x
    x = 18.46/2.00
  6. Step 6: Final answer
    x = 9.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.