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Finding the Third Proportional to 29,850 and 41,842

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Solution

The third proportional to 29,850 and 41,842 is: 58,651.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,850 : 41,842 = 41,842 : x
  2. Step 2: Convert to fraction form
    29,850/41,842 = 41,842/x
  3. Step 3: Cross multiply
    29,850x = 41,842 × 41,842
  4. Step 4: Simplify right side
    29,850x = 1,750,752,964
  5. Step 5: Solve for x
    x = 1,750,752,964/29,850
  6. Step 6: Final answer
    x = 58,651.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.