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Finding the Third Proportional to 16,815 and 35,031

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Solution

The third proportional to 16,815 and 35,031 is: 72,980.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,815 : 35,031 = 35,031 : x
  2. Step 2: Convert to fraction form
    16,815/35,031 = 35,031/x
  3. Step 3: Cross multiply
    16,815x = 35,031 × 35,031
  4. Step 4: Simplify right side
    16,815x = 1,227,170,961
  5. Step 5: Solve for x
    x = 1,227,170,961/16,815
  6. Step 6: Final answer
    x = 72,980.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.