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Finding the Third Proportional to 989.25 and 2,110.81

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Solution

The third proportional to 989.25 and 2,110.81 is: 4,503.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.25 : 2,110.81 = 2,110.81 : x
  2. Step 2: Convert to fraction form
    989.25/2,110.81 = 2,110.81/x
  3. Step 3: Cross multiply
    989.25x = 2,110.81 × 2,110.81
  4. Step 4: Simplify right side
    989.25x = 4,455,529.41
  5. Step 5: Solve for x
    x = 4,455,529.41/989.25
  6. Step 6: Final answer
    x = 4,503.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.