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Finding the Third Proportional to 7.65 and 15.06

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Solution

The third proportional to 7.65 and 15.06 is: 29.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.65 : 15.06 = 15.06 : x
  2. Step 2: Convert to fraction form
    7.65/15.06 = 15.06/x
  3. Step 3: Cross multiply
    7.65x = 15.06 × 15.06
  4. Step 4: Simplify right side
    7.65x = 226.67
  5. Step 5: Solve for x
    x = 226.67/7.65
  6. Step 6: Final answer
    x = 29.64

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.