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Finding the Third Proportional to 14,692.78 and 22,383.42

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Solution

The third proportional to 14,692.78 and 22,383.42 is: 34,099.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692.78 : 22,383.42 = 22,383.42 : x
  2. Step 2: Convert to fraction form
    14,692.78/22,383.42 = 22,383.42/x
  3. Step 3: Cross multiply
    14,692.78x = 22,383.42 × 22,383.42
  4. Step 4: Simplify right side
    14,692.78x = 501,017,574.83
  5. Step 5: Solve for x
    x = 501,017,574.83/14,692.78
  6. Step 6: Final answer
    x = 34,099.57

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