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Finding the Third Proportional to 19,726 and 43,269

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Solution

The third proportional to 19,726 and 43,269 is: 94,910.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,726 : 43,269 = 43,269 : x
  2. Step 2: Convert to fraction form
    19,726/43,269 = 43,269/x
  3. Step 3: Cross multiply
    19,726x = 43,269 × 43,269
  4. Step 4: Simplify right side
    19,726x = 1,872,206,361
  5. Step 5: Solve for x
    x = 1,872,206,361/19,726
  6. Step 6: Final answer
    x = 94,910.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.