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Finding the Third Proportional to 16,808 and 27,916

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Solution

The third proportional to 16,808 and 27,916 is: 46,365.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,808 : 27,916 = 27,916 : x
  2. Step 2: Convert to fraction form
    16,808/27,916 = 27,916/x
  3. Step 3: Cross multiply
    16,808x = 27,916 × 27,916
  4. Step 4: Simplify right side
    16,808x = 779,303,056
  5. Step 5: Solve for x
    x = 779,303,056/16,808
  6. Step 6: Final answer
    x = 46,365.01

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.