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Finding the Third Proportional to 12,054 and 17,729.25

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Solution

The third proportional to 12,054 and 17,729.25 is: 26,076.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,054 : 17,729.25 = 17,729.25 : x
  2. Step 2: Convert to fraction form
    12,054/17,729.25 = 17,729.25/x
  3. Step 3: Cross multiply
    12,054x = 17,729.25 × 17,729.25
  4. Step 4: Simplify right side
    12,054x = 314,326,305.56
  5. Step 5: Solve for x
    x = 314,326,305.56/12,054
  6. Step 6: Final answer
    x = 26,076.51

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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.