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Finding the Third Proportional to 18,582 and 39,972

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Solution

The third proportional to 18,582 and 39,972 is: 85,984.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,582 : 39,972 = 39,972 : x
  2. Step 2: Convert to fraction form
    18,582/39,972 = 39,972/x
  3. Step 3: Cross multiply
    18,582x = 39,972 × 39,972
  4. Step 4: Simplify right side
    18,582x = 1,597,760,784
  5. Step 5: Solve for x
    x = 1,597,760,784/18,582
  6. Step 6: Final answer
    x = 85,984.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.