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Finding the Third Proportional to 9,614.25 and 20,963.25

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Solution

The third proportional to 9,614.25 and 20,963.25 is: 45,709.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.25 : 20,963.25 = 20,963.25 : x
  2. Step 2: Convert to fraction form
    9,614.25/20,963.25 = 20,963.25/x
  3. Step 3: Cross multiply
    9,614.25x = 20,963.25 × 20,963.25
  4. Step 4: Simplify right side
    9,614.25x = 439,457,850.56
  5. Step 5: Solve for x
    x = 439,457,850.56/9,614.25
  6. Step 6: Final answer
    x = 45,709.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.