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Finding the Third Proportional to 8,202.94 and 16,952.63

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Solution

The third proportional to 8,202.94 and 16,952.63 is: 35,035.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.94 : 16,952.63 = 16,952.63 : x
  2. Step 2: Convert to fraction form
    8,202.94/16,952.63 = 16,952.63/x
  3. Step 3: Cross multiply
    8,202.94x = 16,952.63 × 16,952.63
  4. Step 4: Simplify right side
    8,202.94x = 287,391,494.39
  5. Step 5: Solve for x
    x = 287,391,494.39/8,202.94
  6. Step 6: Final answer
    x = 35,035.19

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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.