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Finding the Third Proportional to 18,444.38 and 39,519

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Solution

The third proportional to 18,444.38 and 39,519 is: 84,673.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,444.38 : 39,519 = 39,519 : x
  2. Step 2: Convert to fraction form
    18,444.38/39,519 = 39,519/x
  3. Step 3: Cross multiply
    18,444.38x = 39,519 × 39,519
  4. Step 4: Simplify right side
    18,444.38x = 1,561,751,361
  5. Step 5: Solve for x
    x = 1,561,751,361/18,444.38
  6. Step 6: Final answer
    x = 84,673.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.