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Finding the Third Proportional to 16,400.25 and 35,952.75

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Solution

The third proportional to 16,400.25 and 35,952.75 is: 78,815.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.25 : 35,952.75 = 35,952.75 : x
  2. Step 2: Convert to fraction form
    16,400.25/35,952.75 = 35,952.75/x
  3. Step 3: Cross multiply
    16,400.25x = 35,952.75 × 35,952.75
  4. Step 4: Simplify right side
    16,400.25x = 1,292,600,232.56
  5. Step 5: Solve for x
    x = 1,292,600,232.56/16,400.25
  6. Step 6: Final answer
    x = 78,815.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.