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Finding the Third Proportional to 16,822.69 and 30,228.19

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Solution

The third proportional to 16,822.69 and 30,228.19 is: 54,316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822.69 : 30,228.19 = 30,228.19 : x
  2. Step 2: Convert to fraction form
    16,822.69/30,228.19 = 30,228.19/x
  3. Step 3: Cross multiply
    16,822.69x = 30,228.19 × 30,228.19
  4. Step 4: Simplify right side
    16,822.69x = 913,743,319.54
  5. Step 5: Solve for x
    x = 913,743,319.54/16,822.69
  6. Step 6: Final answer
    x = 54,316.13

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.