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Finding the Third Proportional to 9,309.50 and 13,022

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Solution

The third proportional to 9,309.50 and 13,022 is: 18,214.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.50 : 13,022 = 13,022 : x
  2. Step 2: Convert to fraction form
    9,309.50/13,022 = 13,022/x
  3. Step 3: Cross multiply
    9,309.50x = 13,022 × 13,022
  4. Step 4: Simplify right side
    9,309.50x = 169,572,484
  5. Step 5: Solve for x
    x = 169,572,484/9,309.50
  6. Step 6: Final answer
    x = 18,214.99

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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.