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Finding the Third Proportional to 21,062 and 48,758

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Solution

The third proportional to 21,062 and 48,758 is: 112,873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,062 : 48,758 = 48,758 : x
  2. Step 2: Convert to fraction form
    21,062/48,758 = 48,758/x
  3. Step 3: Cross multiply
    21,062x = 48,758 × 48,758
  4. Step 4: Simplify right side
    21,062x = 2,377,342,564
  5. Step 5: Solve for x
    x = 2,377,342,564/21,062
  6. Step 6: Final answer
    x = 112,873.54

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.