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Finding the Third Proportional to 30.66 and 44.16

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Solution

The third proportional to 30.66 and 44.16 is: 63.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.66 : 44.16 = 44.16 : x
  2. Step 2: Convert to fraction form
    30.66/44.16 = 44.16/x
  3. Step 3: Cross multiply
    30.66x = 44.16 × 44.16
  4. Step 4: Simplify right side
    30.66x = 1,949.77
  5. Step 5: Solve for x
    x = 1,949.77/30.66
  6. Step 6: Final answer
    x = 63.60

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.