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Finding the Third Proportional to 7,845.56 and 12,018.94

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Solution

The third proportional to 7,845.56 and 12,018.94 is: 18,412.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845.56 : 12,018.94 = 12,018.94 : x
  2. Step 2: Convert to fraction form
    7,845.56/12,018.94 = 12,018.94/x
  3. Step 3: Cross multiply
    7,845.56x = 12,018.94 × 12,018.94
  4. Step 4: Simplify right side
    7,845.56x = 144,454,858.63
  5. Step 5: Solve for x
    x = 144,454,858.63/7,845.56
  6. Step 6: Final answer
    x = 18,412.30

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.