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Finding the Third Proportional to 9,945.38 and 21,497.25

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Solution

The third proportional to 9,945.38 and 21,497.25 is: 46,467.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,945.38 : 21,497.25 = 21,497.25 : x
  2. Step 2: Convert to fraction form
    9,945.38/21,497.25 = 21,497.25/x
  3. Step 3: Cross multiply
    9,945.38x = 21,497.25 × 21,497.25
  4. Step 4: Simplify right side
    9,945.38x = 462,131,757.56
  5. Step 5: Solve for x
    x = 462,131,757.56/9,945.38
  6. Step 6: Final answer
    x = 46,467.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.