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Finding the Third Proportional to 7,674.75 and 16,437.94

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Solution

The third proportional to 7,674.75 and 16,437.94 is: 35,207.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.75 : 16,437.94 = 16,437.94 : x
  2. Step 2: Convert to fraction form
    7,674.75/16,437.94 = 16,437.94/x
  3. Step 3: Cross multiply
    7,674.75x = 16,437.94 × 16,437.94
  4. Step 4: Simplify right side
    7,674.75x = 270,205,789.25
  5. Step 5: Solve for x
    x = 270,205,789.25/7,674.75
  6. Step 6: Final answer
    x = 35,207.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.