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Finding the Third Proportional to 14,046 and 31,204

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Solution

The third proportional to 14,046 and 31,204 is: 69,321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046 : 31,204 = 31,204 : x
  2. Step 2: Convert to fraction form
    14,046/31,204 = 31,204/x
  3. Step 3: Cross multiply
    14,046x = 31,204 × 31,204
  4. Step 4: Simplify right side
    14,046x = 973,689,616
  5. Step 5: Solve for x
    x = 973,689,616/14,046
  6. Step 6: Final answer
    x = 69,321.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.