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Finding the Third Proportional to 9,308.25 and 21,953.25

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Solution

The third proportional to 9,308.25 and 21,953.25 is: 51,776.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.25 : 21,953.25 = 21,953.25 : x
  2. Step 2: Convert to fraction form
    9,308.25/21,953.25 = 21,953.25/x
  3. Step 3: Cross multiply
    9,308.25x = 21,953.25 × 21,953.25
  4. Step 4: Simplify right side
    9,308.25x = 481,945,185.56
  5. Step 5: Solve for x
    x = 481,945,185.56/9,308.25
  6. Step 6: Final answer
    x = 51,776.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.