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Finding the Third Proportional to 17,863.35 and 38,699.65

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Solution

The third proportional to 17,863.35 and 38,699.65 is: 83,839.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,863.35 : 38,699.65 = 38,699.65 : x
  2. Step 2: Convert to fraction form
    17,863.35/38,699.65 = 38,699.65/x
  3. Step 3: Cross multiply
    17,863.35x = 38,699.65 × 38,699.65
  4. Step 4: Simplify right side
    17,863.35x = 1,497,662,789.19
  5. Step 5: Solve for x
    x = 1,497,662,789.19/17,863.35
  6. Step 6: Final answer
    x = 83,839.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.