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Finding the Third Proportional to 18,246 and 37,859

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Solution

The third proportional to 18,246 and 37,859 is: 78,554.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,246 : 37,859 = 37,859 : x
  2. Step 2: Convert to fraction form
    18,246/37,859 = 37,859/x
  3. Step 3: Cross multiply
    18,246x = 37,859 × 37,859
  4. Step 4: Simplify right side
    18,246x = 1,433,303,881
  5. Step 5: Solve for x
    x = 1,433,303,881/18,246
  6. Step 6: Final answer
    x = 78,554.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.