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Finding the Third Proportional to 38,674 and 84,820

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Solution

The third proportional to 38,674 and 84,820 is: 186,027.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,674 : 84,820 = 84,820 : x
  2. Step 2: Convert to fraction form
    38,674/84,820 = 84,820/x
  3. Step 3: Cross multiply
    38,674x = 84,820 × 84,820
  4. Step 4: Simplify right side
    38,674x = 7,194,432,400
  5. Step 5: Solve for x
    x = 7,194,432,400/38,674
  6. Step 6: Final answer
    x = 186,027.63

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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.