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Finding the Third Proportional to 16,548 and 36,069

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Solution

The third proportional to 16,548 and 36,069 is: 78,618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,548 : 36,069 = 36,069 : x
  2. Step 2: Convert to fraction form
    16,548/36,069 = 36,069/x
  3. Step 3: Cross multiply
    16,548x = 36,069 × 36,069
  4. Step 4: Simplify right side
    16,548x = 1,300,972,761
  5. Step 5: Solve for x
    x = 1,300,972,761/16,548
  6. Step 6: Final answer
    x = 78,618.13

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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.