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Finding the Third Proportional to 17,839 and 42,187

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Solution

The third proportional to 17,839 and 42,187 is: 99,766.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,839 : 42,187 = 42,187 : x
  2. Step 2: Convert to fraction form
    17,839/42,187 = 42,187/x
  3. Step 3: Cross multiply
    17,839x = 42,187 × 42,187
  4. Step 4: Simplify right side
    17,839x = 1,779,742,969
  5. Step 5: Solve for x
    x = 1,779,742,969/17,839
  6. Step 6: Final answer
    x = 99,766.97

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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.