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Finding the Third Proportional to 8,289.84 and 17,604.84

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Solution

The third proportional to 8,289.84 and 17,604.84 is: 37,386.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.84 : 17,604.84 = 17,604.84 : x
  2. Step 2: Convert to fraction form
    8,289.84/17,604.84 = 17,604.84/x
  3. Step 3: Cross multiply
    8,289.84x = 17,604.84 × 17,604.84
  4. Step 4: Simplify right side
    8,289.84x = 309,930,523.46
  5. Step 5: Solve for x
    x = 309,930,523.46/8,289.84
  6. Step 6: Final answer
    x = 37,386.78

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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.