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Finding the Third Proportional to 39,563 and 52,849

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Solution

The third proportional to 39,563 and 52,849 is: 70,596.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,563 : 52,849 = 52,849 : x
  2. Step 2: Convert to fraction form
    39,563/52,849 = 52,849/x
  3. Step 3: Cross multiply
    39,563x = 52,849 × 52,849
  4. Step 4: Simplify right side
    39,563x = 2,793,016,801
  5. Step 5: Solve for x
    x = 2,793,016,801/39,563
  6. Step 6: Final answer
    x = 70,596.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.