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Finding the Third Proportional to 8,554.78 and 17,519.63

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Solution

The third proportional to 8,554.78 and 17,519.63 is: 35,879.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,554.78 : 17,519.63 = 17,519.63 : x
  2. Step 2: Convert to fraction form
    8,554.78/17,519.63 = 17,519.63/x
  3. Step 3: Cross multiply
    8,554.78x = 17,519.63 × 17,519.63
  4. Step 4: Simplify right side
    8,554.78x = 306,937,260.14
  5. Step 5: Solve for x
    x = 306,937,260.14/8,554.78
  6. Step 6: Final answer
    x = 35,879.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.