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Finding the Third Proportional to 38.09 and 59.03

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Solution

The third proportional to 38.09 and 59.03 is: 91.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.09 : 59.03 = 59.03 : x
  2. Step 2: Convert to fraction form
    38.09/59.03 = 59.03/x
  3. Step 3: Cross multiply
    38.09x = 59.03 × 59.03
  4. Step 4: Simplify right side
    38.09x = 3,484.49
  5. Step 5: Solve for x
    x = 3,484.49/38.09
  6. Step 6: Final answer
    x = 91.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.