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Finding the Third Proportional to 16,896 and 24,324

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Solution

The third proportional to 16,896 and 24,324 is: 35,017.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,896 : 24,324 = 24,324 : x
  2. Step 2: Convert to fraction form
    16,896/24,324 = 24,324/x
  3. Step 3: Cross multiply
    16,896x = 24,324 × 24,324
  4. Step 4: Simplify right side
    16,896x = 591,656,976
  5. Step 5: Solve for x
    x = 591,656,976/16,896
  6. Step 6: Final answer
    x = 35,017.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.