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Finding the Third Proportional to 46,500.75 and 69,619.50

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Solution

The third proportional to 46,500.75 and 69,619.50 is: 104,232.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,500.75 : 69,619.50 = 69,619.50 : x
  2. Step 2: Convert to fraction form
    46,500.75/69,619.50 = 69,619.50/x
  3. Step 3: Cross multiply
    46,500.75x = 69,619.50 × 69,619.50
  4. Step 4: Simplify right side
    46,500.75x = 4,846,874,780.25
  5. Step 5: Solve for x
    x = 4,846,874,780.25/46,500.75
  6. Step 6: Final answer
    x = 104,232.19

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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.