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Finding the Third Proportional to 38.60 and 56.32

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Solution

The third proportional to 38.60 and 56.32 is: 82.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.60 : 56.32 = 56.32 : x
  2. Step 2: Convert to fraction form
    38.60/56.32 = 56.32/x
  3. Step 3: Cross multiply
    38.60x = 56.32 × 56.32
  4. Step 4: Simplify right side
    38.60x = 3,171.98
  5. Step 5: Solve for x
    x = 3,171.98/38.60
  6. Step 6: Final answer
    x = 82.17

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.