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Finding the Third Proportional to 9,416.25 and 20,315.25

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Solution

The third proportional to 9,416.25 and 20,315.25 is: 43,829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.25 : 20,315.25 = 20,315.25 : x
  2. Step 2: Convert to fraction form
    9,416.25/20,315.25 = 20,315.25/x
  3. Step 3: Cross multiply
    9,416.25x = 20,315.25 × 20,315.25
  4. Step 4: Simplify right side
    9,416.25x = 412,709,382.56
  5. Step 5: Solve for x
    x = 412,709,382.56/9,416.25
  6. Step 6: Final answer
    x = 43,829.48

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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.