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Finding the Third Proportional to 11,692.69 and 25,023.94

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Solution

The third proportional to 11,692.69 and 25,023.94 is: 53,554.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.69 : 25,023.94 = 25,023.94 : x
  2. Step 2: Convert to fraction form
    11,692.69/25,023.94 = 25,023.94/x
  3. Step 3: Cross multiply
    11,692.69x = 25,023.94 × 25,023.94
  4. Step 4: Simplify right side
    11,692.69x = 626,197,448.00
  5. Step 5: Solve for x
    x = 626,197,448.00/11,692.69
  6. Step 6: Final answer
    x = 53,554.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.