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Finding the Third Proportional to 7,735.50 and 12,063.94

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Solution

The third proportional to 7,735.50 and 12,063.94 is: 18,814.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.50 : 12,063.94 = 12,063.94 : x
  2. Step 2: Convert to fraction form
    7,735.50/12,063.94 = 12,063.94/x
  3. Step 3: Cross multiply
    7,735.50x = 12,063.94 × 12,063.94
  4. Step 4: Simplify right side
    7,735.50x = 145,538,588.00
  5. Step 5: Solve for x
    x = 145,538,588.00/7,735.50
  6. Step 6: Final answer
    x = 18,814.37

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.