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Finding the Third Proportional to 16,150 and 35,483

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Solution

The third proportional to 16,150 and 35,483 is: 77,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,150 : 35,483 = 35,483 : x
  2. Step 2: Convert to fraction form
    16,150/35,483 = 35,483/x
  3. Step 3: Cross multiply
    16,150x = 35,483 × 35,483
  4. Step 4: Simplify right side
    16,150x = 1,259,043,289
  5. Step 5: Solve for x
    x = 1,259,043,289/16,150
  6. Step 6: Final answer
    x = 77,959.34

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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.