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Finding the Third Proportional to 22,915 and 49,717

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Solution

The third proportional to 22,915 and 49,717 is: 107,867.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,915 : 49,717 = 49,717 : x
  2. Step 2: Convert to fraction form
    22,915/49,717 = 49,717/x
  3. Step 3: Cross multiply
    22,915x = 49,717 × 49,717
  4. Step 4: Simplify right side
    22,915x = 2,471,780,089
  5. Step 5: Solve for x
    x = 2,471,780,089/22,915
  6. Step 6: Final answer
    x = 107,867.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.