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Finding the Third Proportional to 14,384 and 23,601

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Solution

The third proportional to 14,384 and 23,601 is: 38,724.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384 : 23,601 = 23,601 : x
  2. Step 2: Convert to fraction form
    14,384/23,601 = 23,601/x
  3. Step 3: Cross multiply
    14,384x = 23,601 × 23,601
  4. Step 4: Simplify right side
    14,384x = 557,007,201
  5. Step 5: Solve for x
    x = 557,007,201/14,384
  6. Step 6: Final answer
    x = 38,724.08

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.