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Finding the Third Proportional to 9,257 and 19,853

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Solution

The third proportional to 9,257 and 19,853 is: 42,577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257 : 19,853 = 19,853 : x
  2. Step 2: Convert to fraction form
    9,257/19,853 = 19,853/x
  3. Step 3: Cross multiply
    9,257x = 19,853 × 19,853
  4. Step 4: Simplify right side
    9,257x = 394,141,609
  5. Step 5: Solve for x
    x = 394,141,609/9,257
  6. Step 6: Final answer
    x = 42,577.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.