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Finding the Third Proportional to 38,814 and 84,894

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Solution

The third proportional to 38,814 and 84,894 is: 185,680.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,814 : 84,894 = 84,894 : x
  2. Step 2: Convert to fraction form
    38,814/84,894 = 84,894/x
  3. Step 3: Cross multiply
    38,814x = 84,894 × 84,894
  4. Step 4: Simplify right side
    38,814x = 7,206,991,236
  5. Step 5: Solve for x
    x = 7,206,991,236/38,814
  6. Step 6: Final answer
    x = 185,680.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.