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Finding the Third Proportional to 62.30 and 97.73

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Solution

The third proportional to 62.30 and 97.73 is: 153.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.30 : 97.73 = 97.73 : x
  2. Step 2: Convert to fraction form
    62.30/97.73 = 97.73/x
  3. Step 3: Cross multiply
    62.30x = 97.73 × 97.73
  4. Step 4: Simplify right side
    62.30x = 9,552.01
  5. Step 5: Solve for x
    x = 9,552.01/62.30
  6. Step 6: Final answer
    x = 153.33

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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.