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Finding the Third Proportional to 16,443 and 35,971

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Solution

The third proportional to 16,443 and 35,971 is: 78,690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,443 : 35,971 = 35,971 : x
  2. Step 2: Convert to fraction form
    16,443/35,971 = 35,971/x
  3. Step 3: Cross multiply
    16,443x = 35,971 × 35,971
  4. Step 4: Simplify right side
    16,443x = 1,293,912,841
  5. Step 5: Solve for x
    x = 1,293,912,841/16,443
  6. Step 6: Final answer
    x = 78,690.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.