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Finding the Third Proportional to 16,610 and 27,683

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Solution

The third proportional to 16,610 and 27,683 is: 46,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,610 : 27,683 = 27,683 : x
  2. Step 2: Convert to fraction form
    16,610/27,683 = 27,683/x
  3. Step 3: Cross multiply
    16,610x = 27,683 × 27,683
  4. Step 4: Simplify right side
    16,610x = 766,348,489
  5. Step 5: Solve for x
    x = 766,348,489/16,610
  6. Step 6: Final answer
    x = 46,137.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.