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Finding the Third Proportional to 70.84 and 94.33

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Solution

The third proportional to 70.84 and 94.33 is: 125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.84 : 94.33 = 94.33 : x
  2. Step 2: Convert to fraction form
    70.84/94.33 = 94.33/x
  3. Step 3: Cross multiply
    70.84x = 94.33 × 94.33
  4. Step 4: Simplify right side
    70.84x = 8,897.89
  5. Step 5: Solve for x
    x = 8,897.89/70.84
  6. Step 6: Final answer
    x = 125.61

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.