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Finding the Third Proportional to 14,426 and 31,012

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Solution

The third proportional to 14,426 and 31,012 is: 66,667.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,426 : 31,012 = 31,012 : x
  2. Step 2: Convert to fraction form
    14,426/31,012 = 31,012/x
  3. Step 3: Cross multiply
    14,426x = 31,012 × 31,012
  4. Step 4: Simplify right side
    14,426x = 961,744,144
  5. Step 5: Solve for x
    x = 961,744,144/14,426
  6. Step 6: Final answer
    x = 66,667.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.