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Finding the Third Proportional to 12,054 and 25,999.50

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Solution

The third proportional to 12,054 and 25,999.50 is: 56,078.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,054 : 25,999.50 = 25,999.50 : x
  2. Step 2: Convert to fraction form
    12,054/25,999.50 = 25,999.50/x
  3. Step 3: Cross multiply
    12,054x = 25,999.50 × 25,999.50
  4. Step 4: Simplify right side
    12,054x = 675,974,000.25
  5. Step 5: Solve for x
    x = 675,974,000.25/12,054
  6. Step 6: Final answer
    x = 56,078.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.