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Finding the Third Proportional to 19,235 and 48,599

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Solution

The third proportional to 19,235 and 48,599 is: 122,789.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,235 : 48,599 = 48,599 : x
  2. Step 2: Convert to fraction form
    19,235/48,599 = 48,599/x
  3. Step 3: Cross multiply
    19,235x = 48,599 × 48,599
  4. Step 4: Simplify right side
    19,235x = 2,361,862,801
  5. Step 5: Solve for x
    x = 2,361,862,801/19,235
  6. Step 6: Final answer
    x = 122,789.85

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.