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Finding the Third Proportional to 989.81 and 2,163.47

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Solution

The third proportional to 989.81 and 2,163.47 is: 4,728.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.81 : 2,163.47 = 2,163.47 : x
  2. Step 2: Convert to fraction form
    989.81/2,163.47 = 2,163.47/x
  3. Step 3: Cross multiply
    989.81x = 2,163.47 × 2,163.47
  4. Step 4: Simplify right side
    989.81x = 4,680,597.03
  5. Step 5: Solve for x
    x = 4,680,597.03/989.81
  6. Step 6: Final answer
    x = 4,728.77

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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.