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Finding the Third Proportional to 36,846 and 75,237

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Solution

The third proportional to 36,846 and 75,237 is: 153,628.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,846 : 75,237 = 75,237 : x
  2. Step 2: Convert to fraction form
    36,846/75,237 = 75,237/x
  3. Step 3: Cross multiply
    36,846x = 75,237 × 75,237
  4. Step 4: Simplify right side
    36,846x = 5,660,606,169
  5. Step 5: Solve for x
    x = 5,660,606,169/36,846
  6. Step 6: Final answer
    x = 153,628.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.