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Finding the Third Proportional to 44,674 and 94,532

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Solution

The third proportional to 44,674 and 94,532 is: 200,033.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,674 : 94,532 = 94,532 : x
  2. Step 2: Convert to fraction form
    44,674/94,532 = 94,532/x
  3. Step 3: Cross multiply
    44,674x = 94,532 × 94,532
  4. Step 4: Simplify right side
    44,674x = 8,936,299,024
  5. Step 5: Solve for x
    x = 8,936,299,024/44,674
  6. Step 6: Final answer
    x = 200,033.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.