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Finding the Third Proportional to 19,292 and 41,536

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Solution

The third proportional to 19,292 and 41,536 is: 89,427.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,292 : 41,536 = 41,536 : x
  2. Step 2: Convert to fraction form
    19,292/41,536 = 41,536/x
  3. Step 3: Cross multiply
    19,292x = 41,536 × 41,536
  4. Step 4: Simplify right side
    19,292x = 1,725,239,296
  5. Step 5: Solve for x
    x = 1,725,239,296/19,292
  6. Step 6: Final answer
    x = 89,427.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.