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Finding the Third Proportional to 8,859.38 and 19,085.63

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Solution

The third proportional to 8,859.38 and 19,085.63 is: 41,115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,859.38 : 19,085.63 = 19,085.63 : x
  2. Step 2: Convert to fraction form
    8,859.38/19,085.63 = 19,085.63/x
  3. Step 3: Cross multiply
    8,859.38x = 19,085.63 × 19,085.63
  4. Step 4: Simplify right side
    8,859.38x = 364,261,081.64
  5. Step 5: Solve for x
    x = 364,261,081.64/8,859.38
  6. Step 6: Final answer
    x = 41,115.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.