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Finding the Third Proportional to 34,842 and 38,154

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Solution

The third proportional to 34,842 and 38,154 is: 41,780.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,842 : 38,154 = 38,154 : x
  2. Step 2: Convert to fraction form
    34,842/38,154 = 38,154/x
  3. Step 3: Cross multiply
    34,842x = 38,154 × 38,154
  4. Step 4: Simplify right side
    34,842x = 1,455,727,716
  5. Step 5: Solve for x
    x = 1,455,727,716/34,842
  6. Step 6: Final answer
    x = 41,780.83

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.