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Finding the Third Proportional to 8,493.75 and 17,584.88

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Solution

The third proportional to 8,493.75 and 17,584.88 is: 36,406.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.75 : 17,584.88 = 17,584.88 : x
  2. Step 2: Convert to fraction form
    8,493.75/17,584.88 = 17,584.88/x
  3. Step 3: Cross multiply
    8,493.75x = 17,584.88 × 17,584.88
  4. Step 4: Simplify right side
    8,493.75x = 309,227,828.77
  5. Step 5: Solve for x
    x = 309,227,828.77/8,493.75
  6. Step 6: Final answer
    x = 36,406.51

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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.