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Finding the Third Proportional to 19,214 and 28,257

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Solution

The third proportional to 19,214 and 28,257 is: 41,556.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,214 : 28,257 = 28,257 : x
  2. Step 2: Convert to fraction form
    19,214/28,257 = 28,257/x
  3. Step 3: Cross multiply
    19,214x = 28,257 × 28,257
  4. Step 4: Simplify right side
    19,214x = 798,458,049
  5. Step 5: Solve for x
    x = 798,458,049/19,214
  6. Step 6: Final answer
    x = 41,556.06

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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.