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Finding the Third Proportional to 46.83 and 71.93

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Solution

The third proportional to 46.83 and 71.93 is: 110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.83 : 71.93 = 71.93 : x
  2. Step 2: Convert to fraction form
    46.83/71.93 = 71.93/x
  3. Step 3: Cross multiply
    46.83x = 71.93 × 71.93
  4. Step 4: Simplify right side
    46.83x = 5,173.88
  5. Step 5: Solve for x
    x = 5,173.88/46.83
  6. Step 6: Final answer
    x = 110.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.