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Finding the Third Proportional to 8,264 and 19,418

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Solution

The third proportional to 8,264 and 19,418 is: 45,626.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264 : 19,418 = 19,418 : x
  2. Step 2: Convert to fraction form
    8,264/19,418 = 19,418/x
  3. Step 3: Cross multiply
    8,264x = 19,418 × 19,418
  4. Step 4: Simplify right side
    8,264x = 377,058,724
  5. Step 5: Solve for x
    x = 377,058,724/8,264
  6. Step 6: Final answer
    x = 45,626.66

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.