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Finding the Third Proportional to 3,844.88 and 8,384.53

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Solution

The third proportional to 3,844.88 and 8,384.53 is: 18,284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.88 : 8,384.53 = 8,384.53 : x
  2. Step 2: Convert to fraction form
    3,844.88/8,384.53 = 8,384.53/x
  3. Step 3: Cross multiply
    3,844.88x = 8,384.53 × 8,384.53
  4. Step 4: Simplify right side
    3,844.88x = 70,300,364.28
  5. Step 5: Solve for x
    x = 70,300,364.28/3,844.88
  6. Step 6: Final answer
    x = 18,284.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.