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Finding the Third Proportional to 18,943 and 39,843

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Solution

The third proportional to 18,943 and 39,843 is: 83,802.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,943 : 39,843 = 39,843 : x
  2. Step 2: Convert to fraction form
    18,943/39,843 = 39,843/x
  3. Step 3: Cross multiply
    18,943x = 39,843 × 39,843
  4. Step 4: Simplify right side
    18,943x = 1,587,464,649
  5. Step 5: Solve for x
    x = 1,587,464,649/18,943
  6. Step 6: Final answer
    x = 83,802.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.