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Finding the Third Proportional to 16,536 and 34,409

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Solution

The third proportional to 16,536 and 34,409 is: 71,600.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536 : 34,409 = 34,409 : x
  2. Step 2: Convert to fraction form
    16,536/34,409 = 34,409/x
  3. Step 3: Cross multiply
    16,536x = 34,409 × 34,409
  4. Step 4: Simplify right side
    16,536x = 1,183,979,281
  5. Step 5: Solve for x
    x = 1,183,979,281/16,536
  6. Step 6: Final answer
    x = 71,600.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.