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Finding the Third Proportional to 14,692.96 and 22,404.41

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Solution

The third proportional to 14,692.96 and 22,404.41 is: 34,163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692.96 : 22,404.41 = 22,404.41 : x
  2. Step 2: Convert to fraction form
    14,692.96/22,404.41 = 22,404.41/x
  3. Step 3: Cross multiply
    14,692.96x = 22,404.41 × 22,404.41
  4. Step 4: Simplify right side
    14,692.96x = 501,957,594.45
  5. Step 5: Solve for x
    x = 501,957,594.45/14,692.96
  6. Step 6: Final answer
    x = 34,163.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.