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Finding the Third Proportional to 44.09 and 57.05

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Solution

The third proportional to 44.09 and 57.05 is: 73.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.09 : 57.05 = 57.05 : x
  2. Step 2: Convert to fraction form
    44.09/57.05 = 57.05/x
  3. Step 3: Cross multiply
    44.09x = 57.05 × 57.05
  4. Step 4: Simplify right side
    44.09x = 3,254.35
  5. Step 5: Solve for x
    x = 3,254.35/44.09
  6. Step 6: Final answer
    x = 73.81

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.