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Finding the Third Proportional to 50.01 and 55.41

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Solution

The third proportional to 50.01 and 55.41 is: 61.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.01 : 55.41 = 55.41 : x
  2. Step 2: Convert to fraction form
    50.01/55.41 = 55.41/x
  3. Step 3: Cross multiply
    50.01x = 55.41 × 55.41
  4. Step 4: Simplify right side
    50.01x = 3,070.54
  5. Step 5: Solve for x
    x = 3,070.54/50.01
  6. Step 6: Final answer
    x = 61.40

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.