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Finding the Third Proportional to 23,806 and 51,972

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Solution

The third proportional to 23,806 and 51,972 is: 113,462.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,806 : 51,972 = 51,972 : x
  2. Step 2: Convert to fraction form
    23,806/51,972 = 51,972/x
  3. Step 3: Cross multiply
    23,806x = 51,972 × 51,972
  4. Step 4: Simplify right side
    23,806x = 2,701,088,784
  5. Step 5: Solve for x
    x = 2,701,088,784/23,806
  6. Step 6: Final answer
    x = 113,462.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.