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Finding the Third Proportional to 35,041 and 54,406

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Solution

The third proportional to 35,041 and 54,406 is: 84,472.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,041 : 54,406 = 54,406 : x
  2. Step 2: Convert to fraction form
    35,041/54,406 = 54,406/x
  3. Step 3: Cross multiply
    35,041x = 54,406 × 54,406
  4. Step 4: Simplify right side
    35,041x = 2,960,012,836
  5. Step 5: Solve for x
    x = 2,960,012,836/35,041
  6. Step 6: Final answer
    x = 84,472.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.