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Finding the Third Proportional to 12,683 and 18,610

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Solution

The third proportional to 12,683 and 18,610 is: 27,306.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683 : 18,610 = 18,610 : x
  2. Step 2: Convert to fraction form
    12,683/18,610 = 18,610/x
  3. Step 3: Cross multiply
    12,683x = 18,610 × 18,610
  4. Step 4: Simplify right side
    12,683x = 346,332,100
  5. Step 5: Solve for x
    x = 346,332,100/12,683
  6. Step 6: Final answer
    x = 27,306.80

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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.