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Finding the Third Proportional to 21,485 and 47,325

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Solution

The third proportional to 21,485 and 47,325 is: 104,242.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,485 : 47,325 = 47,325 : x
  2. Step 2: Convert to fraction form
    21,485/47,325 = 47,325/x
  3. Step 3: Cross multiply
    21,485x = 47,325 × 47,325
  4. Step 4: Simplify right side
    21,485x = 2,239,655,625
  5. Step 5: Solve for x
    x = 2,239,655,625/21,485
  6. Step 6: Final answer
    x = 104,242.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.