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Finding the Third Proportional to 9.35 and 15.95

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Solution

The third proportional to 9.35 and 15.95 is: 27.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.35 : 15.95 = 15.95 : x
  2. Step 2: Convert to fraction form
    9.35/15.95 = 15.95/x
  3. Step 3: Cross multiply
    9.35x = 15.95 × 15.95
  4. Step 4: Simplify right side
    9.35x = 254.40
  5. Step 5: Solve for x
    x = 254.40/9.35
  6. Step 6: Final answer
    x = 27.20

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.