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Finding the Third Proportional to 8,853 and 19,267

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Solution

The third proportional to 8,853 and 19,267 is: 41,931.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,853 : 19,267 = 19,267 : x
  2. Step 2: Convert to fraction form
    8,853/19,267 = 19,267/x
  3. Step 3: Cross multiply
    8,853x = 19,267 × 19,267
  4. Step 4: Simplify right side
    8,853x = 371,217,289
  5. Step 5: Solve for x
    x = 371,217,289/8,853
  6. Step 6: Final answer
    x = 41,931.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.