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Finding the Third Proportional to 13,683 and 14,817

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Solution

The third proportional to 13,683 and 14,817 is: 16,044.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683 : 14,817 = 14,817 : x
  2. Step 2: Convert to fraction form
    13,683/14,817 = 14,817/x
  3. Step 3: Cross multiply
    13,683x = 14,817 × 14,817
  4. Step 4: Simplify right side
    13,683x = 219,543,489
  5. Step 5: Solve for x
    x = 219,543,489/13,683
  6. Step 6: Final answer
    x = 16,044.98

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.