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Finding the Third Proportional to 4,692.94 and 10,306.69

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Solution

The third proportional to 4,692.94 and 10,306.69 is: 22,635.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.94 : 10,306.69 = 10,306.69 : x
  2. Step 2: Convert to fraction form
    4,692.94/10,306.69 = 10,306.69/x
  3. Step 3: Cross multiply
    4,692.94x = 10,306.69 × 10,306.69
  4. Step 4: Simplify right side
    4,692.94x = 106,227,807.22
  5. Step 5: Solve for x
    x = 106,227,807.22/4,692.94
  6. Step 6: Final answer
    x = 22,635.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.