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Finding the Third Proportional to 56.31 and 76.47

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Solution

The third proportional to 56.31 and 76.47 is: 103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.31 : 76.47 = 76.47 : x
  2. Step 2: Convert to fraction form
    56.31/76.47 = 76.47/x
  3. Step 3: Cross multiply
    56.31x = 76.47 × 76.47
  4. Step 4: Simplify right side
    56.31x = 5,847.47
  5. Step 5: Solve for x
    x = 5,847.47/56.31
  6. Step 6: Final answer
    x = 103.84

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.