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Finding the Third Proportional to 16,625 and 24,865

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Solution

The third proportional to 16,625 and 24,865 is: 37,189.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,625 : 24,865 = 24,865 : x
  2. Step 2: Convert to fraction form
    16,625/24,865 = 24,865/x
  3. Step 3: Cross multiply
    16,625x = 24,865 × 24,865
  4. Step 4: Simplify right side
    16,625x = 618,268,225
  5. Step 5: Solve for x
    x = 618,268,225/16,625
  6. Step 6: Final answer
    x = 37,189.07

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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.