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Finding the Third Proportional to 8,112 and 18,312

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Solution

The third proportional to 8,112 and 18,312 is: 41,337.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112 : 18,312 = 18,312 : x
  2. Step 2: Convert to fraction form
    8,112/18,312 = 18,312/x
  3. Step 3: Cross multiply
    8,112x = 18,312 × 18,312
  4. Step 4: Simplify right side
    8,112x = 335,329,344
  5. Step 5: Solve for x
    x = 335,329,344/8,112
  6. Step 6: Final answer
    x = 41,337.44

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.