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Finding the Third Proportional to 8,112 and 18,646

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Solution

The third proportional to 8,112 and 18,646 is: 42,859.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112 : 18,646 = 18,646 : x
  2. Step 2: Convert to fraction form
    8,112/18,646 = 18,646/x
  3. Step 3: Cross multiply
    8,112x = 18,646 × 18,646
  4. Step 4: Simplify right side
    8,112x = 347,673,316
  5. Step 5: Solve for x
    x = 347,673,316/8,112
  6. Step 6: Final answer
    x = 42,859.14

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.