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Finding the Third Proportional to 16,467 and 25,473.50

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Solution

The third proportional to 16,467 and 25,473.50 is: 39,406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,467 : 25,473.50 = 25,473.50 : x
  2. Step 2: Convert to fraction form
    16,467/25,473.50 = 25,473.50/x
  3. Step 3: Cross multiply
    16,467x = 25,473.50 × 25,473.50
  4. Step 4: Simplify right side
    16,467x = 648,899,202.25
  5. Step 5: Solve for x
    x = 648,899,202.25/16,467
  6. Step 6: Final answer
    x = 39,406.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.