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Finding the Third Proportional to 7,633 and 15,674

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Solution

The third proportional to 7,633 and 15,674 is: 32,185.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633 : 15,674 = 15,674 : x
  2. Step 2: Convert to fraction form
    7,633/15,674 = 15,674/x
  3. Step 3: Cross multiply
    7,633x = 15,674 × 15,674
  4. Step 4: Simplify right side
    7,633x = 245,674,276
  5. Step 5: Solve for x
    x = 245,674,276/7,633
  6. Step 6: Final answer
    x = 32,185.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.