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Finding the Third Proportional to 22,252 and 48,308

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Solution

The third proportional to 22,252 and 48,308 is: 104,874.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,252 : 48,308 = 48,308 : x
  2. Step 2: Convert to fraction form
    22,252/48,308 = 48,308/x
  3. Step 3: Cross multiply
    22,252x = 48,308 × 48,308
  4. Step 4: Simplify right side
    22,252x = 2,333,662,864
  5. Step 5: Solve for x
    x = 2,333,662,864/22,252
  6. Step 6: Final answer
    x = 104,874.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.