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Finding the Third Proportional to 17,337 and 37,842

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Solution

The third proportional to 17,337 and 37,842 is: 82,598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,337 : 37,842 = 37,842 : x
  2. Step 2: Convert to fraction form
    17,337/37,842 = 37,842/x
  3. Step 3: Cross multiply
    17,337x = 37,842 × 37,842
  4. Step 4: Simplify right side
    17,337x = 1,432,016,964
  5. Step 5: Solve for x
    x = 1,432,016,964/17,337
  6. Step 6: Final answer
    x = 82,598.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.