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Finding the Third Proportional to 30,552.75 and 66,289.50

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Solution

The third proportional to 30,552.75 and 66,289.50 is: 143,826.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,552.75 : 66,289.50 = 66,289.50 : x
  2. Step 2: Convert to fraction form
    30,552.75/66,289.50 = 66,289.50/x
  3. Step 3: Cross multiply
    30,552.75x = 66,289.50 × 66,289.50
  4. Step 4: Simplify right side
    30,552.75x = 4,394,297,810.25
  5. Step 5: Solve for x
    x = 4,394,297,810.25/30,552.75
  6. Step 6: Final answer
    x = 143,826.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.