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Finding the Third Proportional to 46,249.50 and 69,381

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Solution

The third proportional to 46,249.50 and 69,381 is: 104,081.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,249.50 : 69,381 = 69,381 : x
  2. Step 2: Convert to fraction form
    46,249.50/69,381 = 69,381/x
  3. Step 3: Cross multiply
    46,249.50x = 69,381 × 69,381
  4. Step 4: Simplify right side
    46,249.50x = 4,813,723,161
  5. Step 5: Solve for x
    x = 4,813,723,161/46,249.50
  6. Step 6: Final answer
    x = 104,081.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.