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Finding the Third Proportional to 16,816 and 25,120

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Solution

The third proportional to 16,816 and 25,120 is: 37,524.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,816 : 25,120 = 25,120 : x
  2. Step 2: Convert to fraction form
    16,816/25,120 = 25,120/x
  3. Step 3: Cross multiply
    16,816x = 25,120 × 25,120
  4. Step 4: Simplify right side
    16,816x = 631,014,400
  5. Step 5: Solve for x
    x = 631,014,400/16,816
  6. Step 6: Final answer
    x = 37,524.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.