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Finding the Third Proportional to 30,273.75 and 65,913.75

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Solution

The third proportional to 30,273.75 and 65,913.75 is: 143,511.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,273.75 : 65,913.75 = 65,913.75 : x
  2. Step 2: Convert to fraction form
    30,273.75/65,913.75 = 65,913.75/x
  3. Step 3: Cross multiply
    30,273.75x = 65,913.75 × 65,913.75
  4. Step 4: Simplify right side
    30,273.75x = 4,344,622,439.06
  5. Step 5: Solve for x
    x = 4,344,622,439.06/30,273.75
  6. Step 6: Final answer
    x = 143,511.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.