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Finding the Third Proportional to 9,645 and 20,474.25

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Solution

The third proportional to 9,645 and 20,474.25 is: 43,462.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645 : 20,474.25 = 20,474.25 : x
  2. Step 2: Convert to fraction form
    9,645/20,474.25 = 20,474.25/x
  3. Step 3: Cross multiply
    9,645x = 20,474.25 × 20,474.25
  4. Step 4: Simplify right side
    9,645x = 419,194,913.06
  5. Step 5: Solve for x
    x = 419,194,913.06/9,645
  6. Step 6: Final answer
    x = 43,462.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.