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Finding the Third Proportional to 12,711 and 14,628

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Solution

The third proportional to 12,711 and 14,628 is: 16,834.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711 : 14,628 = 14,628 : x
  2. Step 2: Convert to fraction form
    12,711/14,628 = 14,628/x
  3. Step 3: Cross multiply
    12,711x = 14,628 × 14,628
  4. Step 4: Simplify right side
    12,711x = 213,978,384
  5. Step 5: Solve for x
    x = 213,978,384/12,711
  6. Step 6: Final answer
    x = 16,834.11

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.