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Finding the Third Proportional to 3,682.13 and 7,809.75

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Solution

The third proportional to 3,682.13 and 7,809.75 is: 16,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.13 : 7,809.75 = 7,809.75 : x
  2. Step 2: Convert to fraction form
    3,682.13/7,809.75 = 7,809.75/x
  3. Step 3: Cross multiply
    3,682.13x = 7,809.75 × 7,809.75
  4. Step 4: Simplify right side
    3,682.13x = 60,992,195.06
  5. Step 5: Solve for x
    x = 60,992,195.06/3,682.13
  6. Step 6: Final answer
    x = 16,564.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.