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Finding the Third Proportional to 29.54 and 44.49

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Solution

The third proportional to 29.54 and 44.49 is: 67.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.54 : 44.49 = 44.49 : x
  2. Step 2: Convert to fraction form
    29.54/44.49 = 44.49/x
  3. Step 3: Cross multiply
    29.54x = 44.49 × 44.49
  4. Step 4: Simplify right side
    29.54x = 1,979.77
  5. Step 5: Solve for x
    x = 1,979.77/29.54
  6. Step 6: Final answer
    x = 67.01

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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.