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Finding the Third Proportional to 14,017 and 21,077

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Solution

The third proportional to 14,017 and 21,077 is: 31,692.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,017 : 21,077 = 21,077 : x
  2. Step 2: Convert to fraction form
    14,017/21,077 = 21,077/x
  3. Step 3: Cross multiply
    14,017x = 21,077 × 21,077
  4. Step 4: Simplify right side
    14,017x = 444,239,929
  5. Step 5: Solve for x
    x = 444,239,929/14,017
  6. Step 6: Final answer
    x = 31,692.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.