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Finding the Third Proportional to 18,519 and 39,948

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Solution

The third proportional to 18,519 and 39,948 is: 86,173.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,519 : 39,948 = 39,948 : x
  2. Step 2: Convert to fraction form
    18,519/39,948 = 39,948/x
  3. Step 3: Cross multiply
    18,519x = 39,948 × 39,948
  4. Step 4: Simplify right side
    18,519x = 1,595,842,704
  5. Step 5: Solve for x
    x = 1,595,842,704/18,519
  6. Step 6: Final answer
    x = 86,173.27

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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.