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Finding the Third Proportional to 12,838 and 18,817

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Solution

The third proportional to 12,838 and 18,817 is: 27,580.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838 : 18,817 = 18,817 : x
  2. Step 2: Convert to fraction form
    12,838/18,817 = 18,817/x
  3. Step 3: Cross multiply
    12,838x = 18,817 × 18,817
  4. Step 4: Simplify right side
    12,838x = 354,079,489
  5. Step 5: Solve for x
    x = 354,079,489/12,838
  6. Step 6: Final answer
    x = 27,580.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.