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Finding the Third Proportional to 3,329.06 and 7,284.47

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Solution

The third proportional to 3,329.06 and 7,284.47 is: 15,939.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,329.06 : 7,284.47 = 7,284.47 : x
  2. Step 2: Convert to fraction form
    3,329.06/7,284.47 = 7,284.47/x
  3. Step 3: Cross multiply
    3,329.06x = 7,284.47 × 7,284.47
  4. Step 4: Simplify right side
    3,329.06x = 53,063,484.97
  5. Step 5: Solve for x
    x = 53,063,484.97/3,329.06
  6. Step 6: Final answer
    x = 15,939.47

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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.