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Finding the Third Proportional to 4,736.44 and 7,012.31

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Solution

The third proportional to 4,736.44 and 7,012.31 is: 10,381.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.44 : 7,012.31 = 7,012.31 : x
  2. Step 2: Convert to fraction form
    4,736.44/7,012.31 = 7,012.31/x
  3. Step 3: Cross multiply
    4,736.44x = 7,012.31 × 7,012.31
  4. Step 4: Simplify right side
    4,736.44x = 49,172,526.60
  5. Step 5: Solve for x
    x = 49,172,526.60/4,736.44
  6. Step 6: Final answer
    x = 10,381.75

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.