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Finding the Third Proportional to 7,674 and 15,894

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Solution

The third proportional to 7,674 and 15,894 is: 32,918.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674 : 15,894 = 15,894 : x
  2. Step 2: Convert to fraction form
    7,674/15,894 = 15,894/x
  3. Step 3: Cross multiply
    7,674x = 15,894 × 15,894
  4. Step 4: Simplify right side
    7,674x = 252,619,236
  5. Step 5: Solve for x
    x = 252,619,236/7,674
  6. Step 6: Final answer
    x = 32,918.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.