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Finding the Third Proportional to 4,648.31 and 7,081.41

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Solution

The third proportional to 4,648.31 and 7,081.41 is: 10,788.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.31 : 7,081.41 = 7,081.41 : x
  2. Step 2: Convert to fraction form
    4,648.31/7,081.41 = 7,081.41/x
  3. Step 3: Cross multiply
    4,648.31x = 7,081.41 × 7,081.41
  4. Step 4: Simplify right side
    4,648.31x = 50,146,314.48
  5. Step 5: Solve for x
    x = 50,146,314.48/4,648.31
  6. Step 6: Final answer
    x = 10,788.07

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.