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Finding the Third Proportional to 16,816.50 and 25,195.50

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Solution

The third proportional to 16,816.50 and 25,195.50 is: 37,749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,816.50 : 25,195.50 = 25,195.50 : x
  2. Step 2: Convert to fraction form
    16,816.50/25,195.50 = 25,195.50/x
  3. Step 3: Cross multiply
    16,816.50x = 25,195.50 × 25,195.50
  4. Step 4: Simplify right side
    16,816.50x = 634,813,220.25
  5. Step 5: Solve for x
    x = 634,813,220.25/16,816.50
  6. Step 6: Final answer
    x = 37,749.43

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Why These Related Problems?

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