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Finding the Third Proportional to 19,296 and 28,184

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Solution

The third proportional to 19,296 and 28,184 is: 41,165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,296 : 28,184 = 28,184 : x
  2. Step 2: Convert to fraction form
    19,296/28,184 = 28,184/x
  3. Step 3: Cross multiply
    19,296x = 28,184 × 28,184
  4. Step 4: Simplify right side
    19,296x = 794,337,856
  5. Step 5: Solve for x
    x = 794,337,856/19,296
  6. Step 6: Final answer
    x = 41,165.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.