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Finding the Third Proportional to 15,969 and 24,477

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Solution

The third proportional to 15,969 and 24,477 is: 37,517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,969 : 24,477 = 24,477 : x
  2. Step 2: Convert to fraction form
    15,969/24,477 = 24,477/x
  3. Step 3: Cross multiply
    15,969x = 24,477 × 24,477
  4. Step 4: Simplify right side
    15,969x = 599,123,529
  5. Step 5: Solve for x
    x = 599,123,529/15,969
  6. Step 6: Final answer
    x = 37,517.91

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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.