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Finding the Third Proportional to 3.02 and 7.00

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Solution

The third proportional to 3.02 and 7.00 is: 16.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.02 : 7.00 = 7.00 : x
  2. Step 2: Convert to fraction form
    3.02/7.00 = 7.00/x
  3. Step 3: Cross multiply
    3.02x = 7.00 × 7.00
  4. Step 4: Simplify right side
    3.02x = 48.95
  5. Step 5: Solve for x
    x = 48.95/3.02
  6. Step 6: Final answer
    x = 16.19

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.