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Finding the Third Proportional to 16,866.75 and 25,206.75

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Solution

The third proportional to 16,866.75 and 25,206.75 is: 37,670.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,866.75 : 25,206.75 = 25,206.75 : x
  2. Step 2: Convert to fraction form
    16,866.75/25,206.75 = 25,206.75/x
  3. Step 3: Cross multiply
    16,866.75x = 25,206.75 × 25,206.75
  4. Step 4: Simplify right side
    16,866.75x = 635,380,245.56
  5. Step 5: Solve for x
    x = 635,380,245.56/16,866.75
  6. Step 6: Final answer
    x = 37,670.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.