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Finding the Third Proportional to 9,509.25 and 21,204.75

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Solution

The third proportional to 9,509.25 and 21,204.75 is: 47,284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.25 : 21,204.75 = 21,204.75 : x
  2. Step 2: Convert to fraction form
    9,509.25/21,204.75 = 21,204.75/x
  3. Step 3: Cross multiply
    9,509.25x = 21,204.75 × 21,204.75
  4. Step 4: Simplify right side
    9,509.25x = 449,641,422.56
  5. Step 5: Solve for x
    x = 449,641,422.56/9,509.25
  6. Step 6: Final answer
    x = 47,284.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.