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Finding the Third Proportional to 16,543 and 36,002

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Solution

The third proportional to 16,543 and 36,002 is: 78,350.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543 : 36,002 = 36,002 : x
  2. Step 2: Convert to fraction form
    16,543/36,002 = 36,002/x
  3. Step 3: Cross multiply
    16,543x = 36,002 × 36,002
  4. Step 4: Simplify right side
    16,543x = 1,296,144,004
  5. Step 5: Solve for x
    x = 1,296,144,004/16,543
  6. Step 6: Final answer
    x = 78,350.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.