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Finding the Third Proportional to 22,853 and 48,616

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Solution

The third proportional to 22,853 and 48,616 is: 103,422.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,853 : 48,616 = 48,616 : x
  2. Step 2: Convert to fraction form
    22,853/48,616 = 48,616/x
  3. Step 3: Cross multiply
    22,853x = 48,616 × 48,616
  4. Step 4: Simplify right side
    22,853x = 2,363,515,456
  5. Step 5: Solve for x
    x = 2,363,515,456/22,853
  6. Step 6: Final answer
    x = 103,422.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.