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Finding the Third Proportional to 9,313 and 19,661

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Solution

The third proportional to 9,313 and 19,661 is: 41,507.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313 : 19,661 = 19,661 : x
  2. Step 2: Convert to fraction form
    9,313/19,661 = 19,661/x
  3. Step 3: Cross multiply
    9,313x = 19,661 × 19,661
  4. Step 4: Simplify right side
    9,313x = 386,554,921
  5. Step 5: Solve for x
    x = 386,554,921/9,313
  6. Step 6: Final answer
    x = 41,507.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.