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Finding the Third Proportional to 19,417 and 41,378

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Solution

The third proportional to 19,417 and 41,378 is: 88,177.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,417 : 41,378 = 41,378 : x
  2. Step 2: Convert to fraction form
    19,417/41,378 = 41,378/x
  3. Step 3: Cross multiply
    19,417x = 41,378 × 41,378
  4. Step 4: Simplify right side
    19,417x = 1,712,138,884
  5. Step 5: Solve for x
    x = 1,712,138,884/19,417
  6. Step 6: Final answer
    x = 88,177.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.