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Finding the Third Proportional to 16,956.50 and 25,829.75

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Solution

The third proportional to 16,956.50 and 25,829.75 is: 39,346.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,956.50 : 25,829.75 = 25,829.75 : x
  2. Step 2: Convert to fraction form
    16,956.50/25,829.75 = 25,829.75/x
  3. Step 3: Cross multiply
    16,956.50x = 25,829.75 × 25,829.75
  4. Step 4: Simplify right side
    16,956.50x = 667,175,985.06
  5. Step 5: Solve for x
    x = 667,175,985.06/16,956.50
  6. Step 6: Final answer
    x = 39,346.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.