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Finding the Third Proportional to 12,219.61 and 18,433.83

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Solution

The third proportional to 12,219.61 and 18,433.83 is: 27,808.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,219.61 : 18,433.83 = 18,433.83 : x
  2. Step 2: Convert to fraction form
    12,219.61/18,433.83 = 18,433.83/x
  3. Step 3: Cross multiply
    12,219.61x = 18,433.83 × 18,433.83
  4. Step 4: Simplify right side
    12,219.61x = 339,806,019.34
  5. Step 5: Solve for x
    x = 339,806,019.34/12,219.61
  6. Step 6: Final answer
    x = 27,808.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.