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Finding the Third Proportional to 7,131.94 and 10,914.19

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Solution

The third proportional to 7,131.94 and 10,914.19 is: 16,702.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.94 : 10,914.19 = 10,914.19 : x
  2. Step 2: Convert to fraction form
    7,131.94/10,914.19 = 10,914.19/x
  3. Step 3: Cross multiply
    7,131.94x = 10,914.19 × 10,914.19
  4. Step 4: Simplify right side
    7,131.94x = 119,119,488.79
  5. Step 5: Solve for x
    x = 119,119,488.79/7,131.94
  6. Step 6: Final answer
    x = 16,702.26

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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.