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Finding the Third Proportional to 18,205 and 39,034

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Solution

The third proportional to 18,205 and 39,034 is: 83,694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205 : 39,034 = 39,034 : x
  2. Step 2: Convert to fraction form
    18,205/39,034 = 39,034/x
  3. Step 3: Cross multiply
    18,205x = 39,034 × 39,034
  4. Step 4: Simplify right side
    18,205x = 1,523,653,156
  5. Step 5: Solve for x
    x = 1,523,653,156/18,205
  6. Step 6: Final answer
    x = 83,694.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.