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Finding the Third Proportional to 30,969.75 and 45,725.50

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Solution

The third proportional to 30,969.75 and 45,725.50 is: 67,511.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.75 : 45,725.50 = 45,725.50 : x
  2. Step 2: Convert to fraction form
    30,969.75/45,725.50 = 45,725.50/x
  3. Step 3: Cross multiply
    30,969.75x = 45,725.50 × 45,725.50
  4. Step 4: Simplify right side
    30,969.75x = 2,090,821,350.25
  5. Step 5: Solve for x
    x = 2,090,821,350.25/30,969.75
  6. Step 6: Final answer
    x = 67,511.73

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.