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Finding the Third Proportional to 12,054 and 18,551

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Solution

The third proportional to 12,054 and 18,551 is: 28,549.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,054 : 18,551 = 18,551 : x
  2. Step 2: Convert to fraction form
    12,054/18,551 = 18,551/x
  3. Step 3: Cross multiply
    12,054x = 18,551 × 18,551
  4. Step 4: Simplify right side
    12,054x = 344,139,601
  5. Step 5: Solve for x
    x = 344,139,601/12,054
  6. Step 6: Final answer
    x = 28,549.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.