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Finding the Third Proportional to 38,554 and 84,094

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Solution

The third proportional to 38,554 and 84,094 is: 183,425.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,554 : 84,094 = 84,094 : x
  2. Step 2: Convert to fraction form
    38,554/84,094 = 84,094/x
  3. Step 3: Cross multiply
    38,554x = 84,094 × 84,094
  4. Step 4: Simplify right side
    38,554x = 7,071,800,836
  5. Step 5: Solve for x
    x = 7,071,800,836/38,554
  6. Step 6: Final answer
    x = 183,425.87

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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.