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Finding the Third Proportional to 16,976.25 and 35,147.25

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Solution

The third proportional to 16,976.25 and 35,147.25 is: 72,768.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,976.25 : 35,147.25 = 35,147.25 : x
  2. Step 2: Convert to fraction form
    16,976.25/35,147.25 = 35,147.25/x
  3. Step 3: Cross multiply
    16,976.25x = 35,147.25 × 35,147.25
  4. Step 4: Simplify right side
    16,976.25x = 1,235,329,182.56
  5. Step 5: Solve for x
    x = 1,235,329,182.56/16,976.25
  6. Step 6: Final answer
    x = 72,768.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.