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Finding the Third Proportional to 46.94 and 60.84

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Solution

The third proportional to 46.94 and 60.84 is: 78.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.94 : 60.84 = 60.84 : x
  2. Step 2: Convert to fraction form
    46.94/60.84 = 60.84/x
  3. Step 3: Cross multiply
    46.94x = 60.84 × 60.84
  4. Step 4: Simplify right side
    46.94x = 3,701.96
  5. Step 5: Solve for x
    x = 3,701.96/46.94
  6. Step 6: Final answer
    x = 78.87

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.