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Finding the Third Proportional to 9,389.25 and 13,800.38

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Solution

The third proportional to 9,389.25 and 13,800.38 is: 20,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.25 : 13,800.38 = 13,800.38 : x
  2. Step 2: Convert to fraction form
    9,389.25/13,800.38 = 13,800.38/x
  3. Step 3: Cross multiply
    9,389.25x = 13,800.38 × 13,800.38
  4. Step 4: Simplify right side
    9,389.25x = 190,450,350.14
  5. Step 5: Solve for x
    x = 190,450,350.14/9,389.25
  6. Step 6: Final answer
    x = 20,283.87

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.