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Finding the Third Proportional to 9,460.13 and 14,007.09

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Solution

The third proportional to 9,460.13 and 14,007.09 is: 20,739.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.13 : 14,007.09 = 14,007.09 : x
  2. Step 2: Convert to fraction form
    9,460.13/14,007.09 = 14,007.09/x
  3. Step 3: Cross multiply
    9,460.13x = 14,007.09 × 14,007.09
  4. Step 4: Simplify right side
    9,460.13x = 196,198,675.32
  5. Step 5: Solve for x
    x = 196,198,675.32/9,460.13
  6. Step 6: Final answer
    x = 20,739.54

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.