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Finding the Third Proportional to 38,894 and 84,916

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Solution

The third proportional to 38,894 and 84,916 is: 185,394.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,894 : 84,916 = 84,916 : x
  2. Step 2: Convert to fraction form
    38,894/84,916 = 84,916/x
  3. Step 3: Cross multiply
    38,894x = 84,916 × 84,916
  4. Step 4: Simplify right side
    38,894x = 7,210,727,056
  5. Step 5: Solve for x
    x = 7,210,727,056/38,894
  6. Step 6: Final answer
    x = 185,394.33

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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.