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Finding the Third Proportional to 4,120.03 and 6,384.66

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Solution

The third proportional to 4,120.03 and 6,384.66 is: 9,894.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.03 : 6,384.66 = 6,384.66 : x
  2. Step 2: Convert to fraction form
    4,120.03/6,384.66 = 6,384.66/x
  3. Step 3: Cross multiply
    4,120.03x = 6,384.66 × 6,384.66
  4. Step 4: Simplify right side
    4,120.03x = 40,763,835.43
  5. Step 5: Solve for x
    x = 40,763,835.43/4,120.03
  6. Step 6: Final answer
    x = 9,894.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.