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Finding the Third Proportional to 16,675 and 35,226

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Solution

The third proportional to 16,675 and 35,226 is: 74,415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,675 : 35,226 = 35,226 : x
  2. Step 2: Convert to fraction form
    16,675/35,226 = 35,226/x
  3. Step 3: Cross multiply
    16,675x = 35,226 × 35,226
  4. Step 4: Simplify right side
    16,675x = 1,240,871,076
  5. Step 5: Solve for x
    x = 1,240,871,076/16,675
  6. Step 6: Final answer
    x = 74,415.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.