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Finding the Third Proportional to 30.06 and 44.61

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Solution

The third proportional to 30.06 and 44.61 is: 66.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.06 : 44.61 = 44.61 : x
  2. Step 2: Convert to fraction form
    30.06/44.61 = 44.61/x
  3. Step 3: Cross multiply
    30.06x = 44.61 × 44.61
  4. Step 4: Simplify right side
    30.06x = 1,990.34
  5. Step 5: Solve for x
    x = 1,990.34/30.06
  6. Step 6: Final answer
    x = 66.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.