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Finding the Third Proportional to 8,124.75 and 11,805.75

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Solution

The third proportional to 8,124.75 and 11,805.75 is: 17,154.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.75 : 11,805.75 = 11,805.75 : x
  2. Step 2: Convert to fraction form
    8,124.75/11,805.75 = 11,805.75/x
  3. Step 3: Cross multiply
    8,124.75x = 11,805.75 × 11,805.75
  4. Step 4: Simplify right side
    8,124.75x = 139,375,733.06
  5. Step 5: Solve for x
    x = 139,375,733.06/8,124.75
  6. Step 6: Final answer
    x = 17,154.46

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.