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Finding the Third Proportional to 32,967 and 40,563

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Solution

The third proportional to 32,967 and 40,563 is: 49,909.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,967 : 40,563 = 40,563 : x
  2. Step 2: Convert to fraction form
    32,967/40,563 = 40,563/x
  3. Step 3: Cross multiply
    32,967x = 40,563 × 40,563
  4. Step 4: Simplify right side
    32,967x = 1,645,356,969
  5. Step 5: Solve for x
    x = 1,645,356,969/32,967
  6. Step 6: Final answer
    x = 49,909.21

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.