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Finding the Third Proportional to 6,122.25 and 16,287.75

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Solution

The third proportional to 6,122.25 and 16,287.75 is: 43,332.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.25 : 16,287.75 = 16,287.75 : x
  2. Step 2: Convert to fraction form
    6,122.25/16,287.75 = 16,287.75/x
  3. Step 3: Cross multiply
    6,122.25x = 16,287.75 × 16,287.75
  4. Step 4: Simplify right side
    6,122.25x = 265,290,800.06
  5. Step 5: Solve for x
    x = 265,290,800.06/6,122.25
  6. Step 6: Final answer
    x = 43,332.24

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.