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Finding the Third Proportional to 30,852 and 66,503

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Solution

The third proportional to 30,852 and 66,503 is: 143,350.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,852 : 66,503 = 66,503 : x
  2. Step 2: Convert to fraction form
    30,852/66,503 = 66,503/x
  3. Step 3: Cross multiply
    30,852x = 66,503 × 66,503
  4. Step 4: Simplify right side
    30,852x = 4,422,649,009
  5. Step 5: Solve for x
    x = 4,422,649,009/30,852
  6. Step 6: Final answer
    x = 143,350.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.