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Finding the Third Proportional to 44.58 and 93.80

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Solution

The third proportional to 44.58 and 93.80 is: 197.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.58 : 93.80 = 93.80 : x
  2. Step 2: Convert to fraction form
    44.58/93.80 = 93.80/x
  3. Step 3: Cross multiply
    44.58x = 93.80 × 93.80
  4. Step 4: Simplify right side
    44.58x = 8,797.85
  5. Step 5: Solve for x
    x = 8,797.85/44.58
  6. Step 6: Final answer
    x = 197.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.