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Finding the Third Proportional to 43,467 and 62,041

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Solution

The third proportional to 43,467 and 62,041 is: 88,551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,467 : 62,041 = 62,041 : x
  2. Step 2: Convert to fraction form
    43,467/62,041 = 62,041/x
  3. Step 3: Cross multiply
    43,467x = 62,041 × 62,041
  4. Step 4: Simplify right side
    43,467x = 3,849,085,681
  5. Step 5: Solve for x
    x = 3,849,085,681/43,467
  6. Step 6: Final answer
    x = 88,551.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.