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Finding the Third Proportional to 44,032 and 94,976

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Solution

The third proportional to 44,032 and 94,976 is: 204,861.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,032 : 94,976 = 94,976 : x
  2. Step 2: Convert to fraction form
    44,032/94,976 = 94,976/x
  3. Step 3: Cross multiply
    44,032x = 94,976 × 94,976
  4. Step 4: Simplify right side
    44,032x = 9,020,440,576
  5. Step 5: Solve for x
    x = 9,020,440,576/44,032
  6. Step 6: Final answer
    x = 204,861.02

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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.