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Finding the Third Proportional to 11,466 and 23,973

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Solution

The third proportional to 11,466 and 23,973 is: 50,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466 : 23,973 = 23,973 : x
  2. Step 2: Convert to fraction form
    11,466/23,973 = 23,973/x
  3. Step 3: Cross multiply
    11,466x = 23,973 × 23,973
  4. Step 4: Simplify right side
    11,466x = 574,704,729
  5. Step 5: Solve for x
    x = 574,704,729/11,466
  6. Step 6: Final answer
    x = 50,122.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.