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Finding the Third Proportional to 29.38 and 47.19

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Solution

The third proportional to 29.38 and 47.19 is: 75.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.38 : 47.19 = 47.19 : x
  2. Step 2: Convert to fraction form
    29.38/47.19 = 47.19/x
  3. Step 3: Cross multiply
    29.38x = 47.19 × 47.19
  4. Step 4: Simplify right side
    29.38x = 2,226.66
  5. Step 5: Solve for x
    x = 2,226.66/29.38
  6. Step 6: Final answer
    x = 75.80

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.