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Finding the Third Proportional to 7,856 and 18,524

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Solution

The third proportional to 7,856 and 18,524 is: 43,678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856 : 18,524 = 18,524 : x
  2. Step 2: Convert to fraction form
    7,856/18,524 = 18,524/x
  3. Step 3: Cross multiply
    7,856x = 18,524 × 18,524
  4. Step 4: Simplify right side
    7,856x = 343,138,576
  5. Step 5: Solve for x
    x = 343,138,576/7,856
  6. Step 6: Final answer
    x = 43,678.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.