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Finding the Third Proportional to 7,153.31 and 10,942.59

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Solution

The third proportional to 7,153.31 and 10,942.59 is: 16,739.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.31 : 10,942.59 = 10,942.59 : x
  2. Step 2: Convert to fraction form
    7,153.31/10,942.59 = 10,942.59/x
  3. Step 3: Cross multiply
    7,153.31x = 10,942.59 × 10,942.59
  4. Step 4: Simplify right side
    7,153.31x = 119,740,357.98
  5. Step 5: Solve for x
    x = 119,740,357.98/7,153.31
  6. Step 6: Final answer
    x = 16,739.15

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.