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Finding the Third Proportional to 46.75 and 73.56

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Solution

The third proportional to 46.75 and 73.56 is: 115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.75 : 73.56 = 73.56 : x
  2. Step 2: Convert to fraction form
    46.75/73.56 = 73.56/x
  3. Step 3: Cross multiply
    46.75x = 73.56 × 73.56
  4. Step 4: Simplify right side
    46.75x = 5,411.44
  5. Step 5: Solve for x
    x = 5,411.44/46.75
  6. Step 6: Final answer
    x = 115.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.