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Finding the Third Proportional to 7,069.78 and 11,313.42

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Solution

The third proportional to 7,069.78 and 11,313.42 is: 18,104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069.78 : 11,313.42 = 11,313.42 : x
  2. Step 2: Convert to fraction form
    7,069.78/11,313.42 = 11,313.42/x
  3. Step 3: Cross multiply
    7,069.78x = 11,313.42 × 11,313.42
  4. Step 4: Simplify right side
    7,069.78x = 127,993,514.52
  5. Step 5: Solve for x
    x = 127,993,514.52/7,069.78
  6. Step 6: Final answer
    x = 18,104.31

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.