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Finding the Third Proportional to 10.10 and 14.67

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Solution

The third proportional to 10.10 and 14.67 is: 21.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.10 : 14.67 = 14.67 : x
  2. Step 2: Convert to fraction form
    10.10/14.67 = 14.67/x
  3. Step 3: Cross multiply
    10.10x = 14.67 × 14.67
  4. Step 4: Simplify right side
    10.10x = 215.26
  5. Step 5: Solve for x
    x = 215.26/10.10
  6. Step 6: Final answer
    x = 21.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.