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Finding the Third Proportional to 62 and 94.63

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Solution

The third proportional to 62 and 94.63 is: 144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    62 : 94.63 = 94.63 : x
  2. Step 2: Convert to fraction form
    62/94.63 = 94.63/x
  3. Step 3: Cross multiply
    62x = 94.63 × 94.63
  4. Step 4: Simplify right side
    62x = 8,953.89
  5. Step 5: Solve for x
    x = 8,953.89/62
  6. Step 6: Final answer
    x = 144.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.