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Finding the Third Proportional to 7,692.75 and 12,493.13

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Solution

The third proportional to 7,692.75 and 12,493.13 is: 20,289.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.75 : 12,493.13 = 12,493.13 : x
  2. Step 2: Convert to fraction form
    7,692.75/12,493.13 = 12,493.13/x
  3. Step 3: Cross multiply
    7,692.75x = 12,493.13 × 12,493.13
  4. Step 4: Simplify right side
    7,692.75x = 156,078,172.27
  5. Step 5: Solve for x
    x = 156,078,172.27/7,692.75
  6. Step 6: Final answer
    x = 20,289.00

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.