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Finding the Third Proportional to 38,539 and 84,063

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Solution

The third proportional to 38,539 and 84,063 is: 183,362.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,539 : 84,063 = 84,063 : x
  2. Step 2: Convert to fraction form
    38,539/84,063 = 84,063/x
  3. Step 3: Cross multiply
    38,539x = 84,063 × 84,063
  4. Step 4: Simplify right side
    38,539x = 7,066,587,969
  5. Step 5: Solve for x
    x = 7,066,587,969/38,539
  6. Step 6: Final answer
    x = 183,362.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.