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Finding the Third Proportional to 6.95 and 15.29

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Solution

The third proportional to 6.95 and 15.29 is: 33.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.95 : 15.29 = 15.29 : x
  2. Step 2: Convert to fraction form
    6.95/15.29 = 15.29/x
  3. Step 3: Cross multiply
    6.95x = 15.29 × 15.29
  4. Step 4: Simplify right side
    6.95x = 233.77
  5. Step 5: Solve for x
    x = 233.77/6.95
  6. Step 6: Final answer
    x = 33.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.