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Finding the Third Proportional to 19,186 and 28,266

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Solution

The third proportional to 19,186 and 28,266 is: 41,643.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,186 : 28,266 = 28,266 : x
  2. Step 2: Convert to fraction form
    19,186/28,266 = 28,266/x
  3. Step 3: Cross multiply
    19,186x = 28,266 × 28,266
  4. Step 4: Simplify right side
    19,186x = 798,966,756
  5. Step 5: Solve for x
    x = 798,966,756/19,186
  6. Step 6: Final answer
    x = 41,643.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.