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Finding the Third Proportional to 8,384.25 and 17,308.50

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Solution

The third proportional to 8,384.25 and 17,308.50 is: 35,731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.25 : 17,308.50 = 17,308.50 : x
  2. Step 2: Convert to fraction form
    8,384.25/17,308.50 = 17,308.50/x
  3. Step 3: Cross multiply
    8,384.25x = 17,308.50 × 17,308.50
  4. Step 4: Simplify right side
    8,384.25x = 299,584,172.25
  5. Step 5: Solve for x
    x = 299,584,172.25/8,384.25
  6. Step 6: Final answer
    x = 35,731.78

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.