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Finding the Third Proportional to 19,403 and 29,267

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Solution

The third proportional to 19,403 and 29,267 is: 44,145.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,403 : 29,267 = 29,267 : x
  2. Step 2: Convert to fraction form
    19,403/29,267 = 29,267/x
  3. Step 3: Cross multiply
    19,403x = 29,267 × 29,267
  4. Step 4: Simplify right side
    19,403x = 856,557,289
  5. Step 5: Solve for x
    x = 856,557,289/19,403
  6. Step 6: Final answer
    x = 44,145.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.