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Finding the Third Proportional to 7,674 and 18,510

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Solution

The third proportional to 7,674 and 18,510 is: 44,646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674 : 18,510 = 18,510 : x
  2. Step 2: Convert to fraction form
    7,674/18,510 = 18,510/x
  3. Step 3: Cross multiply
    7,674x = 18,510 × 18,510
  4. Step 4: Simplify right side
    7,674x = 342,620,100
  5. Step 5: Solve for x
    x = 342,620,100/7,674
  6. Step 6: Final answer
    x = 44,646.87

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.