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Finding the Third Proportional to 17,669 and 40,871

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Solution

The third proportional to 17,669 and 40,871 is: 94,540.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,669 : 40,871 = 40,871 : x
  2. Step 2: Convert to fraction form
    17,669/40,871 = 40,871/x
  3. Step 3: Cross multiply
    17,669x = 40,871 × 40,871
  4. Step 4: Simplify right side
    17,669x = 1,670,438,641
  5. Step 5: Solve for x
    x = 1,670,438,641/17,669
  6. Step 6: Final answer
    x = 94,540.64

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.