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Finding the Third Proportional to 44.38 and 93.38

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Solution

The third proportional to 44.38 and 93.38 is: 196.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.38 : 93.38 = 93.38 : x
  2. Step 2: Convert to fraction form
    44.38/93.38 = 93.38/x
  3. Step 3: Cross multiply
    44.38x = 93.38 × 93.38
  4. Step 4: Simplify right side
    44.38x = 8,718.89
  5. Step 5: Solve for x
    x = 8,718.89/44.38
  6. Step 6: Final answer
    x = 196.48

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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.