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Finding the Third Proportional to 39.02 and 56.32

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Solution

The third proportional to 39.02 and 56.32 is: 81.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.02 : 56.32 = 56.32 : x
  2. Step 2: Convert to fraction form
    39.02/56.32 = 56.32/x
  3. Step 3: Cross multiply
    39.02x = 56.32 × 56.32
  4. Step 4: Simplify right side
    39.02x = 3,171.98
  5. Step 5: Solve for x
    x = 3,171.98/39.02
  6. Step 6: Final answer
    x = 81.28

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.