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Finding the Third Proportional to 17,466 and 37,721

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Solution

The third proportional to 17,466 and 37,721 is: 81,465.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,466 : 37,721 = 37,721 : x
  2. Step 2: Convert to fraction form
    17,466/37,721 = 37,721/x
  3. Step 3: Cross multiply
    17,466x = 37,721 × 37,721
  4. Step 4: Simplify right side
    17,466x = 1,422,873,841
  5. Step 5: Solve for x
    x = 1,422,873,841/17,466
  6. Step 6: Final answer
    x = 81,465.35

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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.