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Finding the Third Proportional to 16,424 and 34,809

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Solution

The third proportional to 16,424 and 34,809 is: 73,774.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,424 : 34,809 = 34,809 : x
  2. Step 2: Convert to fraction form
    16,424/34,809 = 34,809/x
  3. Step 3: Cross multiply
    16,424x = 34,809 × 34,809
  4. Step 4: Simplify right side
    16,424x = 1,211,666,481
  5. Step 5: Solve for x
    x = 1,211,666,481/16,424
  6. Step 6: Final answer
    x = 73,774.14

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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.