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Finding the Third Proportional to 38,606 and 84,600

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Solution

The third proportional to 38,606 and 84,600 is: 185,389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,606 : 84,600 = 84,600 : x
  2. Step 2: Convert to fraction form
    38,606/84,600 = 84,600/x
  3. Step 3: Cross multiply
    38,606x = 84,600 × 84,600
  4. Step 4: Simplify right side
    38,606x = 7,157,160,000
  5. Step 5: Solve for x
    x = 7,157,160,000/38,606
  6. Step 6: Final answer
    x = 185,389.84

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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.