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Finding the Third Proportional to 23,282 and 48,845

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Solution

The third proportional to 23,282 and 48,845 is: 102,475.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,282 : 48,845 = 48,845 : x
  2. Step 2: Convert to fraction form
    23,282/48,845 = 48,845/x
  3. Step 3: Cross multiply
    23,282x = 48,845 × 48,845
  4. Step 4: Simplify right side
    23,282x = 2,385,834,025
  5. Step 5: Solve for x
    x = 2,385,834,025/23,282
  6. Step 6: Final answer
    x = 102,475.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.