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Finding the Third Proportional to 19,191 and 40,842

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Solution

The third proportional to 19,191 and 40,842 is: 86,919.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,191 : 40,842 = 40,842 : x
  2. Step 2: Convert to fraction form
    19,191/40,842 = 40,842/x
  3. Step 3: Cross multiply
    19,191x = 40,842 × 40,842
  4. Step 4: Simplify right side
    19,191x = 1,668,068,964
  5. Step 5: Solve for x
    x = 1,668,068,964/19,191
  6. Step 6: Final answer
    x = 86,919.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.