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Finding the Third Proportional to 35,412 and 55,266

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Solution

The third proportional to 35,412 and 55,266 is: 86,251.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,412 : 55,266 = 55,266 : x
  2. Step 2: Convert to fraction form
    35,412/55,266 = 55,266/x
  3. Step 3: Cross multiply
    35,412x = 55,266 × 55,266
  4. Step 4: Simplify right side
    35,412x = 3,054,330,756
  5. Step 5: Solve for x
    x = 3,054,330,756/35,412
  6. Step 6: Final answer
    x = 86,251.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.