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Finding the Third Proportional to 8,175.94 and 12,967.59

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Solution

The third proportional to 8,175.94 and 12,967.59 is: 20,567.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.94 : 12,967.59 = 12,967.59 : x
  2. Step 2: Convert to fraction form
    8,175.94/12,967.59 = 12,967.59/x
  3. Step 3: Cross multiply
    8,175.94x = 12,967.59 × 12,967.59
  4. Step 4: Simplify right side
    8,175.94x = 168,158,487.67
  5. Step 5: Solve for x
    x = 168,158,487.67/8,175.94
  6. Step 6: Final answer
    x = 20,567.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.