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Finding the Third Proportional to 44,034 and 94,980

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Solution

The third proportional to 44,034 and 94,980 is: 204,868.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,034 : 94,980 = 94,980 : x
  2. Step 2: Convert to fraction form
    44,034/94,980 = 94,980/x
  3. Step 3: Cross multiply
    44,034x = 94,980 × 94,980
  4. Step 4: Simplify right side
    44,034x = 9,021,200,400
  5. Step 5: Solve for x
    x = 9,021,200,400/44,034
  6. Step 6: Final answer
    x = 204,868.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.