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Finding the Third Proportional to 12,000.66 and 17,692.17

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Solution

The third proportional to 12,000.66 and 17,692.17 is: 26,082.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000.66 : 17,692.17 = 17,692.17 : x
  2. Step 2: Convert to fraction form
    12,000.66/17,692.17 = 17,692.17/x
  3. Step 3: Cross multiply
    12,000.66x = 17,692.17 × 17,692.17
  4. Step 4: Simplify right side
    12,000.66x = 313,012,945.65
  5. Step 5: Solve for x
    x = 313,012,945.65/12,000.66
  6. Step 6: Final answer
    x = 26,082.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.