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Finding the Third Proportional to 40,489 and 94,568

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Solution

The third proportional to 40,489 and 94,568 is: 220,877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,489 : 94,568 = 94,568 : x
  2. Step 2: Convert to fraction form
    40,489/94,568 = 94,568/x
  3. Step 3: Cross multiply
    40,489x = 94,568 × 94,568
  4. Step 4: Simplify right side
    40,489x = 8,943,106,624
  5. Step 5: Solve for x
    x = 8,943,106,624/40,489
  6. Step 6: Final answer
    x = 220,877.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.