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Finding the Third Proportional to 16,548 and 34,710

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Solution

The third proportional to 16,548 and 34,710 is: 72,805.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,548 : 34,710 = 34,710 : x
  2. Step 2: Convert to fraction form
    16,548/34,710 = 34,710/x
  3. Step 3: Cross multiply
    16,548x = 34,710 × 34,710
  4. Step 4: Simplify right side
    16,548x = 1,204,784,100
  5. Step 5: Solve for x
    x = 1,204,784,100/16,548
  6. Step 6: Final answer
    x = 72,805.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.