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Finding the Third Proportional to 3,841.69 and 8,298.47

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Solution

The third proportional to 3,841.69 and 8,298.47 is: 17,925.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.69 : 8,298.47 = 8,298.47 : x
  2. Step 2: Convert to fraction form
    3,841.69/8,298.47 = 8,298.47/x
  3. Step 3: Cross multiply
    3,841.69x = 8,298.47 × 8,298.47
  4. Step 4: Simplify right side
    3,841.69x = 68,864,583.59
  5. Step 5: Solve for x
    x = 68,864,583.59/3,841.69
  6. Step 6: Final answer
    x = 17,925.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.