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Finding the Third Proportional to 46,384 and 69,454.75

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Solution

The third proportional to 46,384 and 69,454.75 is: 104,000.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,384 : 69,454.75 = 69,454.75 : x
  2. Step 2: Convert to fraction form
    46,384/69,454.75 = 69,454.75/x
  3. Step 3: Cross multiply
    46,384x = 69,454.75 × 69,454.75
  4. Step 4: Simplify right side
    46,384x = 4,823,962,297.56
  5. Step 5: Solve for x
    x = 4,823,962,297.56/46,384
  6. Step 6: Final answer
    x = 104,000.57

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