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Finding the Third Proportional to 7,605.56 and 12,097.69

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Solution

The third proportional to 7,605.56 and 12,097.69 is: 19,243.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.56 : 12,097.69 = 12,097.69 : x
  2. Step 2: Convert to fraction form
    7,605.56/12,097.69 = 12,097.69/x
  3. Step 3: Cross multiply
    7,605.56x = 12,097.69 × 12,097.69
  4. Step 4: Simplify right side
    7,605.56x = 146,354,042.85
  5. Step 5: Solve for x
    x = 146,354,042.85/7,605.56
  6. Step 6: Final answer
    x = 19,243.03

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.