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Finding the Third Proportional to 46,625.50 and 69,922.25

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Solution

The third proportional to 46,625.50 and 69,922.25 is: 104,859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,625.50 : 69,922.25 = 69,922.25 : x
  2. Step 2: Convert to fraction form
    46,625.50/69,922.25 = 69,922.25/x
  3. Step 3: Cross multiply
    46,625.50x = 69,922.25 × 69,922.25
  4. Step 4: Simplify right side
    46,625.50x = 4,889,121,045.06
  5. Step 5: Solve for x
    x = 4,889,121,045.06/46,625.50
  6. Step 6: Final answer
    x = 104,859.38

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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.