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Finding the Third Proportional to 7,826.63 and 12,120.89

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Solution

The third proportional to 7,826.63 and 12,120.89 is: 18,771.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.63 : 12,120.89 = 12,120.89 : x
  2. Step 2: Convert to fraction form
    7,826.63/12,120.89 = 12,120.89/x
  3. Step 3: Cross multiply
    7,826.63x = 12,120.89 × 12,120.89
  4. Step 4: Simplify right side
    7,826.63x = 146,915,989.54
  5. Step 5: Solve for x
    x = 146,915,989.54/7,826.63
  6. Step 6: Final answer
    x = 18,771.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.