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Finding the Third Proportional to 19,358 and 41,884

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Solution

The third proportional to 19,358 and 41,884 is: 90,622.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,358 : 41,884 = 41,884 : x
  2. Step 2: Convert to fraction form
    19,358/41,884 = 41,884/x
  3. Step 3: Cross multiply
    19,358x = 41,884 × 41,884
  4. Step 4: Simplify right side
    19,358x = 1,754,269,456
  5. Step 5: Solve for x
    x = 1,754,269,456/19,358
  6. Step 6: Final answer
    x = 90,622.45

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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.