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Finding the Third Proportional to 7,674 and 17,877

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Solution

The third proportional to 7,674 and 17,877 is: 41,645.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674 : 17,877 = 17,877 : x
  2. Step 2: Convert to fraction form
    7,674/17,877 = 17,877/x
  3. Step 3: Cross multiply
    7,674x = 17,877 × 17,877
  4. Step 4: Simplify right side
    7,674x = 319,587,129
  5. Step 5: Solve for x
    x = 319,587,129/7,674
  6. Step 6: Final answer
    x = 41,645.44

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.