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Finding the Third Proportional to 8,182.69 and 17,924.63

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Solution

The third proportional to 8,182.69 and 17,924.63 is: 39,264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.69 : 17,924.63 = 17,924.63 : x
  2. Step 2: Convert to fraction form
    8,182.69/17,924.63 = 17,924.63/x
  3. Step 3: Cross multiply
    8,182.69x = 17,924.63 × 17,924.63
  4. Step 4: Simplify right side
    8,182.69x = 321,292,181.39
  5. Step 5: Solve for x
    x = 321,292,181.39/8,182.69
  6. Step 6: Final answer
    x = 39,264.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.