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Finding the Third Proportional to 9,027 and 12,298.50

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Solution

The third proportional to 9,027 and 12,298.50 is: 16,755.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,027 : 12,298.50 = 12,298.50 : x
  2. Step 2: Convert to fraction form
    9,027/12,298.50 = 12,298.50/x
  3. Step 3: Cross multiply
    9,027x = 12,298.50 × 12,298.50
  4. Step 4: Simplify right side
    9,027x = 151,253,102.25
  5. Step 5: Solve for x
    x = 151,253,102.25/9,027
  6. Step 6: Final answer
    x = 16,755.63

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.