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Finding the Third Proportional to 46,037 and 65,734

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Solution

The third proportional to 46,037 and 65,734 is: 93,858.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,037 : 65,734 = 65,734 : x
  2. Step 2: Convert to fraction form
    46,037/65,734 = 65,734/x
  3. Step 3: Cross multiply
    46,037x = 65,734 × 65,734
  4. Step 4: Simplify right side
    46,037x = 4,320,958,756
  5. Step 5: Solve for x
    x = 4,320,958,756/46,037
  6. Step 6: Final answer
    x = 93,858.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.