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Finding the Third Proportional to 16,456 and 34,888

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Solution

The third proportional to 16,456 and 34,888 is: 73,965.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456 : 34,888 = 34,888 : x
  2. Step 2: Convert to fraction form
    16,456/34,888 = 34,888/x
  3. Step 3: Cross multiply
    16,456x = 34,888 × 34,888
  4. Step 4: Simplify right side
    16,456x = 1,217,172,544
  5. Step 5: Solve for x
    x = 1,217,172,544/16,456
  6. Step 6: Final answer
    x = 73,965.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.