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Finding the Third Proportional to 5,692.78 and 12,236.06

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Solution

The third proportional to 5,692.78 and 12,236.06 is: 26,300.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.78 : 12,236.06 = 12,236.06 : x
  2. Step 2: Convert to fraction form
    5,692.78/12,236.06 = 12,236.06/x
  3. Step 3: Cross multiply
    5,692.78x = 12,236.06 × 12,236.06
  4. Step 4: Simplify right side
    5,692.78x = 149,721,225.50
  5. Step 5: Solve for x
    x = 149,721,225.50/5,692.78
  6. Step 6: Final answer
    x = 26,300.19

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.