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Finding the Third Proportional to 16,893 and 35,395

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Solution

The third proportional to 16,893 and 35,395 is: 74,161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,893 : 35,395 = 35,395 : x
  2. Step 2: Convert to fraction form
    16,893/35,395 = 35,395/x
  3. Step 3: Cross multiply
    16,893x = 35,395 × 35,395
  4. Step 4: Simplify right side
    16,893x = 1,252,806,025
  5. Step 5: Solve for x
    x = 1,252,806,025/16,893
  6. Step 6: Final answer
    x = 74,161.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.