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Finding the Third Proportional to 18,584 and 38,072

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Solution

The third proportional to 18,584 and 38,072 is: 77,995.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,584 : 38,072 = 38,072 : x
  2. Step 2: Convert to fraction form
    18,584/38,072 = 38,072/x
  3. Step 3: Cross multiply
    18,584x = 38,072 × 38,072
  4. Step 4: Simplify right side
    18,584x = 1,449,477,184
  5. Step 5: Solve for x
    x = 1,449,477,184/18,584
  6. Step 6: Final answer
    x = 77,995.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.