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Finding the Third Proportional to 5,692.78 and 9,094.78

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Solution

The third proportional to 5,692.78 and 9,094.78 is: 14,529.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.78 : 9,094.78 = 9,094.78 : x
  2. Step 2: Convert to fraction form
    5,692.78/9,094.78 = 9,094.78/x
  3. Step 3: Cross multiply
    5,692.78x = 9,094.78 × 9,094.78
  4. Step 4: Simplify right side
    5,692.78x = 82,715,045.99
  5. Step 5: Solve for x
    x = 82,715,045.99/5,692.78
  6. Step 6: Final answer
    x = 14,529.81

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.