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Finding the Third Proportional to 19,197 and 28,107

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Solution

The third proportional to 19,197 and 28,107 is: 41,152.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,197 : 28,107 = 28,107 : x
  2. Step 2: Convert to fraction form
    19,197/28,107 = 28,107/x
  3. Step 3: Cross multiply
    19,197x = 28,107 × 28,107
  4. Step 4: Simplify right side
    19,197x = 790,003,449
  5. Step 5: Solve for x
    x = 790,003,449/19,197
  6. Step 6: Final answer
    x = 41,152.44

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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.