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Finding the Third Proportional to 40,482 and 94,551

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Solution

The third proportional to 40,482 and 94,551 is: 220,836.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,482 : 94,551 = 94,551 : x
  2. Step 2: Convert to fraction form
    40,482/94,551 = 94,551/x
  3. Step 3: Cross multiply
    40,482x = 94,551 × 94,551
  4. Step 4: Simplify right side
    40,482x = 8,939,891,601
  5. Step 5: Solve for x
    x = 8,939,891,601/40,482
  6. Step 6: Final answer
    x = 220,836.21

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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.