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Finding the Third Proportional to 46.75 and 72.13

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Solution

The third proportional to 46.75 and 72.13 is: 111.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.75 : 72.13 = 72.13 : x
  2. Step 2: Convert to fraction form
    46.75/72.13 = 72.13/x
  3. Step 3: Cross multiply
    46.75x = 72.13 × 72.13
  4. Step 4: Simplify right side
    46.75x = 5,202.02
  5. Step 5: Solve for x
    x = 5,202.02/46.75
  6. Step 6: Final answer
    x = 111.27

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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.