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Finding the Third Proportional to 19,841 and 43,489

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Solution

The third proportional to 19,841 and 43,489 is: 95,322.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,841 : 43,489 = 43,489 : x
  2. Step 2: Convert to fraction form
    19,841/43,489 = 43,489/x
  3. Step 3: Cross multiply
    19,841x = 43,489 × 43,489
  4. Step 4: Simplify right side
    19,841x = 1,891,293,121
  5. Step 5: Solve for x
    x = 1,891,293,121/19,841
  6. Step 6: Final answer
    x = 95,322.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.