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Finding the Third Proportional to 19,814 and 41,029

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Solution

The third proportional to 19,814 and 41,029 is: 84,959.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814 : 41,029 = 41,029 : x
  2. Step 2: Convert to fraction form
    19,814/41,029 = 41,029/x
  3. Step 3: Cross multiply
    19,814x = 41,029 × 41,029
  4. Step 4: Simplify right side
    19,814x = 1,683,378,841
  5. Step 5: Solve for x
    x = 1,683,378,841/19,814
  6. Step 6: Final answer
    x = 84,959.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.