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Finding the Third Proportional to 38,999 and 84,829

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Solution

The third proportional to 38,999 and 84,829 is: 184,516.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,999 : 84,829 = 84,829 : x
  2. Step 2: Convert to fraction form
    38,999/84,829 = 84,829/x
  3. Step 3: Cross multiply
    38,999x = 84,829 × 84,829
  4. Step 4: Simplify right side
    38,999x = 7,195,959,241
  5. Step 5: Solve for x
    x = 7,195,959,241/38,999
  6. Step 6: Final answer
    x = 184,516.51

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