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Finding the Third Proportional to 19,583 and 39,850

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Solution

The third proportional to 19,583 and 39,850 is: 81,091.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,583 : 39,850 = 39,850 : x
  2. Step 2: Convert to fraction form
    19,583/39,850 = 39,850/x
  3. Step 3: Cross multiply
    19,583x = 39,850 × 39,850
  4. Step 4: Simplify right side
    19,583x = 1,588,022,500
  5. Step 5: Solve for x
    x = 1,588,022,500/19,583
  6. Step 6: Final answer
    x = 81,091.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.