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Finding the Third Proportional to 30.29 and 44.02

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Solution

The third proportional to 30.29 and 44.02 is: 63.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.29 : 44.02 = 44.02 : x
  2. Step 2: Convert to fraction form
    30.29/44.02 = 44.02/x
  3. Step 3: Cross multiply
    30.29x = 44.02 × 44.02
  4. Step 4: Simplify right side
    30.29x = 1,937.38
  5. Step 5: Solve for x
    x = 1,937.38/30.29
  6. Step 6: Final answer
    x = 63.97

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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.