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Finding the Third Proportional to 9,309.09 and 13,021.88

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Solution

The third proportional to 9,309.09 and 13,021.88 is: 18,215.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.09 : 13,021.88 = 13,021.88 : x
  2. Step 2: Convert to fraction form
    9,309.09/13,021.88 = 13,021.88/x
  3. Step 3: Cross multiply
    9,309.09x = 13,021.88 × 13,021.88
  4. Step 4: Simplify right side
    9,309.09x = 169,569,228.52
  5. Step 5: Solve for x
    x = 169,569,228.52/9,309.09
  6. Step 6: Final answer
    x = 18,215.44

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.