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Finding the Third Proportional to 16,846.50 and 25,785

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Solution

The third proportional to 16,846.50 and 25,785 is: 39,466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,846.50 : 25,785 = 25,785 : x
  2. Step 2: Convert to fraction form
    16,846.50/25,785 = 25,785/x
  3. Step 3: Cross multiply
    16,846.50x = 25,785 × 25,785
  4. Step 4: Simplify right side
    16,846.50x = 664,866,225
  5. Step 5: Solve for x
    x = 664,866,225/16,846.50
  6. Step 6: Final answer
    x = 39,466.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.