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Finding the Third Proportional to 46,415.50 and 69,725.50

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Solution

The third proportional to 46,415.50 and 69,725.50 is: 104,741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,415.50 : 69,725.50 = 69,725.50 : x
  2. Step 2: Convert to fraction form
    46,415.50/69,725.50 = 69,725.50/x
  3. Step 3: Cross multiply
    46,415.50x = 69,725.50 × 69,725.50
  4. Step 4: Simplify right side
    46,415.50x = 4,861,645,350.25
  5. Step 5: Solve for x
    x = 4,861,645,350.25/46,415.50
  6. Step 6: Final answer
    x = 104,741.85

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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.