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Finding the Third Proportional to 8,509 and 18,674

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Solution

The third proportional to 8,509 and 18,674 is: 40,982.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509 : 18,674 = 18,674 : x
  2. Step 2: Convert to fraction form
    8,509/18,674 = 18,674/x
  3. Step 3: Cross multiply
    8,509x = 18,674 × 18,674
  4. Step 4: Simplify right side
    8,509x = 348,718,276
  5. Step 5: Solve for x
    x = 348,718,276/8,509
  6. Step 6: Final answer
    x = 40,982.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.