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Finding the Third Proportional to 23,109 and 47,313

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Solution

The third proportional to 23,109 and 47,313 is: 96,867.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,109 : 47,313 = 47,313 : x
  2. Step 2: Convert to fraction form
    23,109/47,313 = 47,313/x
  3. Step 3: Cross multiply
    23,109x = 47,313 × 47,313
  4. Step 4: Simplify right side
    23,109x = 2,238,519,969
  5. Step 5: Solve for x
    x = 2,238,519,969/23,109
  6. Step 6: Final answer
    x = 96,867.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.