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Finding the Third Proportional to 16,997 and 37,358.50

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Solution

The third proportional to 16,997 and 37,358.50 is: 82,111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,997 : 37,358.50 = 37,358.50 : x
  2. Step 2: Convert to fraction form
    16,997/37,358.50 = 37,358.50/x
  3. Step 3: Cross multiply
    16,997x = 37,358.50 × 37,358.50
  4. Step 4: Simplify right side
    16,997x = 1,395,657,522.25
  5. Step 5: Solve for x
    x = 1,395,657,522.25/16,997
  6. Step 6: Final answer
    x = 82,111.99

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Why These Related Problems?

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