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Finding the Third Proportional to 16,043 and 35,641

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Solution

The third proportional to 16,043 and 35,641 is: 79,179.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,043 : 35,641 = 35,641 : x
  2. Step 2: Convert to fraction form
    16,043/35,641 = 35,641/x
  3. Step 3: Cross multiply
    16,043x = 35,641 × 35,641
  4. Step 4: Simplify right side
    16,043x = 1,270,280,881
  5. Step 5: Solve for x
    x = 1,270,280,881/16,043
  6. Step 6: Final answer
    x = 79,179.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.