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Finding the Third Proportional to 43,830 and 95,844

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Solution

The third proportional to 43,830 and 95,844 is: 209,584.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,830 : 95,844 = 95,844 : x
  2. Step 2: Convert to fraction form
    43,830/95,844 = 95,844/x
  3. Step 3: Cross multiply
    43,830x = 95,844 × 95,844
  4. Step 4: Simplify right side
    43,830x = 9,186,072,336
  5. Step 5: Solve for x
    x = 9,186,072,336/43,830
  6. Step 6: Final answer
    x = 209,584.13

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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.