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Finding the Third Proportional to 20,178.50 and 39,842

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Solution

The third proportional to 20,178.50 and 39,842 is: 78,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.50 : 39,842 = 39,842 : x
  2. Step 2: Convert to fraction form
    20,178.50/39,842 = 39,842/x
  3. Step 3: Cross multiply
    20,178.50x = 39,842 × 39,842
  4. Step 4: Simplify right side
    20,178.50x = 1,587,384,964
  5. Step 5: Solve for x
    x = 1,587,384,964/20,178.50
  6. Step 6: Final answer
    x = 78,667.14

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.