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Finding the Third Proportional to 16,048 and 24,584

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Solution

The third proportional to 16,048 and 24,584 is: 37,660.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,048 : 24,584 = 24,584 : x
  2. Step 2: Convert to fraction form
    16,048/24,584 = 24,584/x
  3. Step 3: Cross multiply
    16,048x = 24,584 × 24,584
  4. Step 4: Simplify right side
    16,048x = 604,373,056
  5. Step 5: Solve for x
    x = 604,373,056/16,048
  6. Step 6: Final answer
    x = 37,660.33

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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.