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Finding the Third Proportional to 23,154 and 49,911

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Solution

The third proportional to 23,154 and 49,911 is: 107,588.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,154 : 49,911 = 49,911 : x
  2. Step 2: Convert to fraction form
    23,154/49,911 = 49,911/x
  3. Step 3: Cross multiply
    23,154x = 49,911 × 49,911
  4. Step 4: Simplify right side
    23,154x = 2,491,107,921
  5. Step 5: Solve for x
    x = 2,491,107,921/23,154
  6. Step 6: Final answer
    x = 107,588.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.