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Finding the Third Proportional to 16,064 and 24,824

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Solution

The third proportional to 16,064 and 24,824 is: 38,360.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,064 : 24,824 = 24,824 : x
  2. Step 2: Convert to fraction form
    16,064/24,824 = 24,824/x
  3. Step 3: Cross multiply
    16,064x = 24,824 × 24,824
  4. Step 4: Simplify right side
    16,064x = 616,230,976
  5. Step 5: Solve for x
    x = 616,230,976/16,064
  6. Step 6: Final answer
    x = 38,360.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.