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Finding the Third Proportional to 1.15 and 3.02

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Solution

The third proportional to 1.15 and 3.02 is: 7.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.15 : 3.02 = 3.02 : x
  2. Step 2: Convert to fraction form
    1.15/3.02 = 3.02/x
  3. Step 3: Cross multiply
    1.15x = 3.02 × 3.02
  4. Step 4: Simplify right side
    1.15x = 9.11
  5. Step 5: Solve for x
    x = 9.11/1.15
  6. Step 6: Final answer
    x = 7.93

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.