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Finding the Third Proportional to 44.14 and 92.55

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Solution

The third proportional to 44.14 and 92.55 is: 194.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.14 : 92.55 = 92.55 : x
  2. Step 2: Convert to fraction form
    44.14/92.55 = 92.55/x
  3. Step 3: Cross multiply
    44.14x = 92.55 × 92.55
  4. Step 4: Simplify right side
    44.14x = 8,565.29
  5. Step 5: Solve for x
    x = 8,565.29/44.14
  6. Step 6: Final answer
    x = 194.05

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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.