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Finding the Third Proportional to 43,998 and 103,830

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Solution

The third proportional to 43,998 and 103,830 is: 245,026.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,998 : 103,830 = 103,830 : x
  2. Step 2: Convert to fraction form
    43,998/103,830 = 103,830/x
  3. Step 3: Cross multiply
    43,998x = 103,830 × 103,830
  4. Step 4: Simplify right side
    43,998x = 10,780,668,900
  5. Step 5: Solve for x
    x = 10,780,668,900/43,998
  6. Step 6: Final answer
    x = 245,026.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.