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Finding the Third Proportional to 29.74 and 44.93

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Solution

The third proportional to 29.74 and 44.93 is: 67.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.74 : 44.93 = 44.93 : x
  2. Step 2: Convert to fraction form
    29.74/44.93 = 44.93/x
  3. Step 3: Cross multiply
    29.74x = 44.93 × 44.93
  4. Step 4: Simplify right side
    29.74x = 2,018.68
  5. Step 5: Solve for x
    x = 2,018.68/29.74
  6. Step 6: Final answer
    x = 67.87

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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.