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Finding the Third Proportional to 19,273 and 41,642

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Solution

The third proportional to 19,273 and 41,642 is: 89,973.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,273 : 41,642 = 41,642 : x
  2. Step 2: Convert to fraction form
    19,273/41,642 = 41,642/x
  3. Step 3: Cross multiply
    19,273x = 41,642 × 41,642
  4. Step 4: Simplify right side
    19,273x = 1,734,056,164
  5. Step 5: Solve for x
    x = 1,734,056,164/19,273
  6. Step 6: Final answer
    x = 89,973.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.