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Finding the Third Proportional to 30,843 and 66,870

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Solution

The third proportional to 30,843 and 66,870 is: 144,979.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843 : 66,870 = 66,870 : x
  2. Step 2: Convert to fraction form
    30,843/66,870 = 66,870/x
  3. Step 3: Cross multiply
    30,843x = 66,870 × 66,870
  4. Step 4: Simplify right side
    30,843x = 4,471,596,900
  5. Step 5: Solve for x
    x = 4,471,596,900/30,843
  6. Step 6: Final answer
    x = 144,979.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.