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Finding the Third Proportional to 18,523 and 39,942

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Solution

The third proportional to 18,523 and 39,942 is: 86,128.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,523 : 39,942 = 39,942 : x
  2. Step 2: Convert to fraction form
    18,523/39,942 = 39,942/x
  3. Step 3: Cross multiply
    18,523x = 39,942 × 39,942
  4. Step 4: Simplify right side
    18,523x = 1,595,363,364
  5. Step 5: Solve for x
    x = 1,595,363,364/18,523
  6. Step 6: Final answer
    x = 86,128.78

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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.