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Finding the Third Proportional to 10.85 and 16.35

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Solution

The third proportional to 10.85 and 16.35 is: 24.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.85 : 16.35 = 16.35 : x
  2. Step 2: Convert to fraction form
    10.85/16.35 = 16.35/x
  3. Step 3: Cross multiply
    10.85x = 16.35 × 16.35
  4. Step 4: Simplify right side
    10.85x = 267.21
  5. Step 5: Solve for x
    x = 267.21/10.85
  6. Step 6: Final answer
    x = 24.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.