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Finding the Third Proportional to 7,083.56 and 10,429.31

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Solution

The third proportional to 7,083.56 and 10,429.31 is: 15,355.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.56 : 10,429.31 = 10,429.31 : x
  2. Step 2: Convert to fraction form
    7,083.56/10,429.31 = 10,429.31/x
  3. Step 3: Cross multiply
    7,083.56x = 10,429.31 × 10,429.31
  4. Step 4: Simplify right side
    7,083.56x = 108,770,559.22
  5. Step 5: Solve for x
    x = 108,770,559.22/7,083.56
  6. Step 6: Final answer
    x = 15,355.35

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.