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Finding the Third Proportional to 16,648 and 36,272

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Solution

The third proportional to 16,648 and 36,272 is: 79,027.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,648 : 36,272 = 36,272 : x
  2. Step 2: Convert to fraction form
    16,648/36,272 = 36,272/x
  3. Step 3: Cross multiply
    16,648x = 36,272 × 36,272
  4. Step 4: Simplify right side
    16,648x = 1,315,657,984
  5. Step 5: Solve for x
    x = 1,315,657,984/16,648
  6. Step 6: Final answer
    x = 79,027.99

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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.