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Finding the Third Proportional to 42.94 and 46.97

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Solution

The third proportional to 42.94 and 46.97 is: 51.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.94 : 46.97 = 46.97 : x
  2. Step 2: Convert to fraction form
    42.94/46.97 = 46.97/x
  3. Step 3: Cross multiply
    42.94x = 46.97 × 46.97
  4. Step 4: Simplify right side
    42.94x = 2,206.06
  5. Step 5: Solve for x
    x = 2,206.06/42.94
  6. Step 6: Final answer
    x = 51.38

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.