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Finding the Third Proportional to 16,204.50 and 35,577

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Solution

The third proportional to 16,204.50 and 35,577 is: 78,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.50 : 35,577 = 35,577 : x
  2. Step 2: Convert to fraction form
    16,204.50/35,577 = 35,577/x
  3. Step 3: Cross multiply
    16,204.50x = 35,577 × 35,577
  4. Step 4: Simplify right side
    16,204.50x = 1,265,722,929
  5. Step 5: Solve for x
    x = 1,265,722,929/16,204.50
  6. Step 6: Final answer
    x = 78,109.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.