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Finding the Third Proportional to 43,821 and 94,539

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Solution

The third proportional to 43,821 and 94,539 is: 203,957.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,821 : 94,539 = 94,539 : x
  2. Step 2: Convert to fraction form
    43,821/94,539 = 94,539/x
  3. Step 3: Cross multiply
    43,821x = 94,539 × 94,539
  4. Step 4: Simplify right side
    43,821x = 8,937,622,521
  5. Step 5: Solve for x
    x = 8,937,622,521/43,821
  6. Step 6: Final answer
    x = 203,957.52

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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.