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Finding the Third Proportional to 17,842.13 and 38,863.13

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Solution

The third proportional to 17,842.13 and 38,863.13 is: 84,650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.13 : 38,863.13 = 38,863.13 : x
  2. Step 2: Convert to fraction form
    17,842.13/38,863.13 = 38,863.13/x
  3. Step 3: Cross multiply
    17,842.13x = 38,863.13 × 38,863.13
  4. Step 4: Simplify right side
    17,842.13x = 1,510,342,484.77
  5. Step 5: Solve for x
    x = 1,510,342,484.77/17,842.13
  6. Step 6: Final answer
    x = 84,650.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.