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Finding the Third Proportional to 8,767.25 and 18,992.50

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Solution

The third proportional to 8,767.25 and 18,992.50 is: 41,143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,767.25 : 18,992.50 = 18,992.50 : x
  2. Step 2: Convert to fraction form
    8,767.25/18,992.50 = 18,992.50/x
  3. Step 3: Cross multiply
    8,767.25x = 18,992.50 × 18,992.50
  4. Step 4: Simplify right side
    8,767.25x = 360,715,056.25
  5. Step 5: Solve for x
    x = 360,715,056.25/8,767.25
  6. Step 6: Final answer
    x = 41,143.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.