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Finding the Third Proportional to 12,692.25 and 19,217.25

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Solution

The third proportional to 12,692.25 and 19,217.25 is: 29,096.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.25 : 19,217.25 = 19,217.25 : x
  2. Step 2: Convert to fraction form
    12,692.25/19,217.25 = 19,217.25/x
  3. Step 3: Cross multiply
    12,692.25x = 19,217.25 × 19,217.25
  4. Step 4: Simplify right side
    12,692.25x = 369,302,697.56
  5. Step 5: Solve for x
    x = 369,302,697.56/12,692.25
  6. Step 6: Final answer
    x = 29,096.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.