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Finding the Third Proportional to 16,548 and 36,008

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Solution

The third proportional to 16,548 and 36,008 is: 78,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,548 : 36,008 = 36,008 : x
  2. Step 2: Convert to fraction form
    16,548/36,008 = 36,008/x
  3. Step 3: Cross multiply
    16,548x = 36,008 × 36,008
  4. Step 4: Simplify right side
    16,548x = 1,296,576,064
  5. Step 5: Solve for x
    x = 1,296,576,064/16,548
  6. Step 6: Final answer
    x = 78,352.43

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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.