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Finding the Third Proportional to 8.02 and 17.30

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Solution

The third proportional to 8.02 and 17.30 is: 37.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.02 : 17.30 = 17.30 : x
  2. Step 2: Convert to fraction form
    8.02/17.30 = 17.30/x
  3. Step 3: Cross multiply
    8.02x = 17.30 × 17.30
  4. Step 4: Simplify right side
    8.02x = 299.18
  5. Step 5: Solve for x
    x = 299.18/8.02
  6. Step 6: Final answer
    x = 37.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.