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Finding the Third Proportional to 9,625 and 20,465

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Solution

The third proportional to 9,625 and 20,465 is: 43,513.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625 : 20,465 = 20,465 : x
  2. Step 2: Convert to fraction form
    9,625/20,465 = 20,465/x
  3. Step 3: Cross multiply
    9,625x = 20,465 × 20,465
  4. Step 4: Simplify right side
    9,625x = 418,816,225
  5. Step 5: Solve for x
    x = 418,816,225/9,625
  6. Step 6: Final answer
    x = 43,513.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.