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Finding the Third Proportional to 16,772 and 25,196

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Solution

The third proportional to 16,772 and 25,196 is: 37,851.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,772 : 25,196 = 25,196 : x
  2. Step 2: Convert to fraction form
    16,772/25,196 = 25,196/x
  3. Step 3: Cross multiply
    16,772x = 25,196 × 25,196
  4. Step 4: Simplify right side
    16,772x = 634,838,416
  5. Step 5: Solve for x
    x = 634,838,416/16,772
  6. Step 6: Final answer
    x = 37,851.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.