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Finding the Third Proportional to 14,692.88 and 21,423.94

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Solution

The third proportional to 14,692.88 and 21,423.94 is: 31,238.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692.88 : 21,423.94 = 21,423.94 : x
  2. Step 2: Convert to fraction form
    14,692.88/21,423.94 = 21,423.94/x
  3. Step 3: Cross multiply
    14,692.88x = 21,423.94 × 21,423.94
  4. Step 4: Simplify right side
    14,692.88x = 458,985,098.00
  5. Step 5: Solve for x
    x = 458,985,098.00/14,692.88
  6. Step 6: Final answer
    x = 31,238.62

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.